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Topological space made of a set of spines joined at a point
real unit intervals identified at the origin (though its topology is not the quotient topology, but that defined by the metric below). Each unit interval
Hedgehog_space
1981 studio album by Joe McPhee Po Music
Topology is an album by multi-instrumentalist and composer Joe McPhee, recorded in 1981 and first released on the Swiss HatHut label, it was rereleased
Topology_(album)
Opening in the surface of an object
Section 4.3. Munkres, James R. Topology. Vol. 2. Upper Saddle River: Prentice Hall, 2000. Dunn, Casey (2009-11-06). "A tale of two holes – Creature Cast
Hole
General theory of mathematical structures
Mac Lane in the mid-20th century in their foundational work on algebraic topology. Category theory can be used in most areas of mathematics. In particular
Category_theory
Fictional character in Tangled film
first appears in the 2010 animated film. Based on Dame Gothel from the fairy tale "Rapunzel", Mother Gothel is a vain elderly woman who hoards the healing
Mother_Gothel
Mathematician and topologist
1994) is a mathematician whose primary area of research is low-dimensional topology. She is an assistant professor at the University of Texas at Austin. She
Maggie_Miller_(mathematician)
Robot with axes of control that are linear and orthogonal
Volume 7, Issue 1, Pages 143-160 Gosselin, Clement M.; Masouleh, Mehdi Tale; Duchaine, Vincent; Richard, Pierre-Luc; Foucault, Simon; Kong, Xianwen (2007)
Cartesian_coordinate_robot
1939 novel by James Joyce
"Summa" al "Finnegans Wake", in which he spends much time analyzing the topology and layers of metaphors in the book, concluding that "every word of the
Finnegans_Wake
American novelist
Stars (Applied Topology Book 1) (2018) An Opening in the Air (Applied Topology Book 2) (2018) An Annoyance of Grackles (Applied Topology Book 3) (2018)
Margaret_Ball_(writer)
Generalization of category theory
those equalities. Higher category theory is often applied in algebraic topology (especially in homotopy theory), where one studies algebraic invariants
Higher_category_theory
Simple mechanical puzzles using topology
Simple mechanical puzzles using topology
Disentanglement_puzzle
Russian mathematician, writer, and film director
of more than 60 scientific publications and a monograph in algebra and topology, and is also a novelist and independent filmmaker. He is a specialist in
Roman_Mikhaylov
Town in Uttarakhand, India
by Nikhil Devasar, S.B. Dutta & Santanu Sarkar [Editor] (2012). Plain Tales from the Raj, by Charles Allen (1975). Magic Mountains: Hill Stations and
Landour
High-capacity public transport
achieved by MTR Corporation's urban lines in Hong Kong. Rapid transit topologies are determined by a large number of factors, including geographical barriers
Rapid_transit
Molecule whose structure resembles a knot
occurring and chemically synthesized molecular knots. Applying chemical topology and knot theory to molecular knots allows biologists to better understand
Molecular_knot
Topics referred to by the same term
Fine, a 32-gun frigate launched in 1779 Fine (brandy) Fine art(s) Fine topology (disambiguation), in mathematics Fines (disambiguation) Finest (disambiguation)
Fine
Structure formed by double-stranded molecules
of which may be relevant to the structure of chromatin. Analysis of DNA topology uses three values: L = linking number - the number of times one DNA strand
Nucleic_acid_double_helix
German polymath and scholar (1777–1855)
survey of Hanover fuelled Gauss's interest in differential geometry and topology, fields of mathematics dealing with curves and surfaces. This led him in
Carl_Friedrich_Gauss
Swiss mathematician (1707–1783)
music theorist and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches of mathematics
Leonhard_Euler
Number divisible only by 1 and itself
Goldbach's proof based on Fermat numbers, Furstenberg's proof using general topology, and Kummer's proof by contradiction. Euclid's proof shows that every finite
Prime_number
East Asian ethnic group
contributions to the development and growth of differential geometry and topology.[excessive citations] The botanist Shang Fa Yang was well-noted for his
Han_Chinese
Former slum in Hong Kong
Press. pp. 1–15. ISBN 978-0-8166-8798-5. Ross Farnell (1998). "Posthuman Topologies: William Gibson's 'Architexture' in 'Virtual Light' and 'Idoru.'". Science
Kowloon_Walled_City
British mathematician (1923–2010)
A_{n}^{2}} -polyhedra". His principal research interests were in algebraic topology, homological algebra, categorical algebra and mathematics education. He
Peter_Hilton
Earth's most severe extinction event
Benton, Michael James (19 November 2011). "Calibrated Diversity, Tree Topology and the Mother of Mass Extinctions: The Lesson of Temnospondyls". Palaeontology
Permian–Triassic extinction event
Permian–Triassic_extinction_event
Class of animals
(2003). "Structure of the posthepatic septum and its influence on visceral topology in the tegu lizard, Tupinambis merianae (Teidae: Reptilia)". Journal of
Reptile
Tabular arrangement of the chemical elements
extreme repulsion between protons is predicted to result in exotic nuclear topologies, with bubbles, rings, and tori expected: this further complicates extrapolation
Periodic_table
Mapping between categories
mapping between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated
Functor
Elementary particle involved with rest mass
heavy quarks, primarily the top quark, and includes both box and triangle topologies. The triangle diagram explicitly depends on the Higgs trilinear self-coupling
Higgs_boson
Hungarian and American mathematician and physicist (1903–1957)
bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. The von Neumann bicommutant theorem
John_von_Neumann
American multinational technology company
initially recognize intellectual property rights related to microprocessor topology (circuit layouts), until the Semiconductor Chip Protection Act of 1984
Intel
joint topology. The 5-DoF Pentateron has 3T2R DoF with 5(PRRRR) joint topology. The 6-DoF Hexapteron has 3T3R DoF with 6(PCRS) joint topology, with cylindrical
Cartesian parallel manipulators
Cartesian_parallel_manipulators
Number with a real and an imaginary part
of nearness and continuity, which matter in areas such as analysis and topology, are not dealt with. The following description of C {\displaystyle \mathbb
Complex_number
Set of therapeutic techniques established by Sigmund Freud
according to the coordinates of biological drive economy, dynamics, and topology). He discovered that the instinctive impulses are expressed in the symbols
Psychoanalysis
Rapid transit system in England
91. Ovenden (2013), p. 142. Kent, Alexander J. (1 February 2021). "When Topology Trumped Topography: Celebrating 90 Years of Beck's Underground Map". The
London_Underground
1992 film by Peter Jackson
(27 November 2012). Performance and the Politics of Space: Theatre and Topology. Routledge. p. 112. ISBN 9781136210266. Archived from the original on 14
Braindead_(film)
Grouping by physical or social qualities
ISBN 978-0-87154-588-6. Lee, Jayne Chong-Soon (1997). "Review essay: Navigating the topology of race". In Gates, E. Nathaniel (ed.). Critical Race Theory: Essays on
Race_(human_categorization)
Techniques to train attention and awareness
"Psilocybin enhances insightfulness in meditation: a perspective on the global topology of brain imaging during meditation". Scientific Reports. 14 (1): 7211.
Meditation
Electricity generation by nuclear fusion
Blanco, Emilio; Blatzheim, Marko; et al. (2016). "Confirmation of the topology of the Wendelstein 7-X magnetic field to better than 1:100,000". Nature
Fusion_power
Catholic university in Notre Dame, Indiana, U.S.
Astrophysics, the University of Notre Dame Environmental Research Center, Topology and Quantum Field Theory, the Nuclear Physics Research Group, and the Environmental
University_of_Notre_Dame
Austrian esotericist (1861–1925)
L'Architecture D'Aujourd'hui, December 1982, pp. 8–17. Sokolina, Anna. "Modernist Topologies: The Goetheanum in Building." In Modernity and Construction of Sacred
Rudolf_Steiner
Facility used to house computer servers
enterprise data centers and multi-tenant Internet hosting data centers. The topology proposed in this document is intended to be applicable to any size data
Data_center
Biological kingdom
PMID 31879283. Kapli, Paschalia; Telford, Maximilian J. (11 December 2020). "Topology-dependent asymmetry in systematic errors affects phylogenetic placement
Animal
Typographic symbol (#)
with the divisibility symbol, e.g. a ∣ b {\displaystyle a\mid b} . In topology, A#B is the connected sum of manifolds A and B, or of knots A and B in
Number_sign
Protein-coding gene in the species Homo sapiens
factors 201 221 - ZF02 C2H2 zinc finger transcription factors 2 108 130 - TALE TALE homeodomain class recognizing TG motifs 216 232 - WHNF Winged helix transcription
TANGO2
Works in Oxford University Press series
Roberts 28 November 2019 Earth Sciences and Geography/Environment 622 Topology Richard Earl 12 December 2019 Mathematics 623 Superstition Stuart Vyse
List of Very Short Introductions books
List_of_Very_Short_Introductions_books
Cultural and artistic movement
Reviewed, Manchester University. Steiner, George (1998) After Babel, ch.6 Topologies of culture, 3rd revised edition Art Berman (1994) Preface to Modernism
Modernism
Subgenus of fig trees
every trunk connected directly or indirectly to the primary trunk. The topology of this massive root system inspired the name of the hierarchical computer
Banyan
Sequence of operations for a task
Algorithmic entities Algorithmic synthesis Algorithmic technique Algorithmic topology Computational mathematics Garbage in, garbage out Introduction to Algorithms
Algorithm
American mathematician
David S. Richeson is an American mathematician whose interests include the topology of dynamical systems, recreational mathematics, and the history of mathematics
David_Richeson
Data about other data
object. To classify an object as, for example, Dewey class number 514 (Topology) (i.e. books having the number 514 on their spine) the implied statement
Metadata
Multiverse used by Marvel Comics
observation that Lyra arrived from an alternate reality indicates that the topology of the Marvel Multiverse is based on new realities branching off from key
Multiverse_(Marvel_Comics)
Artistic, literary, musical, and intellectual movement
section to Chaucer's The Franklin's Prologue and Tale[full citation needed] Steiner, George. 1998. "Topologies of Culture", chapter 6 of After Babel: Aspects
Romanticism
Plasma experiments
magnetic fields, do not cause opening of the magnetic field lines and overall topology is preserved. The critical threshold magnitude of 'odd parity' rotating
Princeton field-reversed configuration
Princeton_field-reversed_configuration
Overview of the events of 2023 in science
Breadcrumb-Style Dynamically Deployed Communication Network Paradigm using Mesh Topology for Planetary Subsurface Exploration". Advances in Space Research. 72 (2):
January–March_2023_in_science
Short-range wireless technology standard
dedicated channels with credit-based flow control Dual Mode and Topology LE Link Layer Topology 802.11n PAL Audio architecture updates for Wide Band Speech
Bluetooth
Extinct genus of marine lizard from the Late Cretaceous
problems, making them inaccurate. The following cladogram on the left (Topology A) is modified from a maximum clade credibility tree inferred by a Bayesian
Mosasaurus
Description of physical properties at the atomic and subatomic scale
73..999B. doi:10.1119/1.2060717. ISSN 0002-9505. Pais, Abraham (1997). A Tale of Two Continents: A Physicist's Life in a Turbulent World. Princeton, New
Quantum_mechanics
Long distance transmission of text
Mexico Press, 2013. ISBN 0826353983. Lindley, David (2004). Degrees Kelvin: a tale of genius, invention, and tragedy. Joseph Henry Press. p. 138. ISBN 0309167825
Telegraphy
Species of scarab beetle
Bianca; Brune, Andreas; Friedrich, Michael W. (August 2005). "Structure and Topology of Microbial Communities in the Major Gut Compartments of Melolontha melolontha
Cockchafer
analysis Raoul Bott (BEng 1945, MEng 1948) – mathematician specializing in topology, Wolf Prize in Mathematics, 2000 Reuven Brenner – economist; current faculty
List of McGill University people
List_of_McGill_University_people
Mathematical ways to group elements of a set
exhaust or cover X. See also collectively exhaustive events and cover (topology). The intersection of any two distinct sets in P is empty (that is ( ∀
Partition_of_a_set
symplectic and algebraic geometry; Erdős Prize (2006) Joan Birman (born 1927), topology Zygmunt Wilhelm Birnbaum (1903–2000), functional analysis and probability
List_of_Jewish_mathematicians
Shape with four equal sides and angles
ISBN 0-387-95345-0. MR 1901214. Davis, Michael W. (2008). The Geometry and Topology of Coxeter Groups. London Mathematical Society Monographs Series. Vol. 32
Square
Italian electrical engineer and inventor (1874–1937)
machine and asking for funding, but never received a response. An apocryphal tale claims that the minister, incorrectly named first as Emilio Sineo and later
Guglielmo_Marconi
Canadian philosopher and communications scholar (1911–1980)
acoustic space—a holistic, qualitative order with an intricate, paradoxical topology: "Acoustic Space has the basic character of a sphere whose focus or center
Marshall_McLuhan
Purported energy generator
issued in 2016 pertaining to another of Thane's inventions, a bi-toroidal topology transformer. Heins has recently stated that he is unsure whether or not
Perepiteia
20. doi:10.1186/s13059-018-1393-5. PMC 5809971. PMID 29433568. R1b-V88 topology indicates a Europe-to-Africa migration. Indeed, our data suggest a European
Genetic_history_of_Africa
Topics referred to by the same term
heraldry Rose (mathematics), a sinusoid plotted in polar coordinates Rose (topology), a topological space Repression of heat shock gene expression (ROSE) element
Rose_(disambiguation)
83, British mathematician specializing in algebraic and differential topology (b. 1938) Richard Gilliland, 71, television and movie actor (b. 1950) Paul
2021 deaths in the United States (January–June)
2021_deaths_in_the_United_States_(January–June)
(membrane topology) The specific orientation of transmembrane proteins. (electronics) The configuration of electronic components. (Network topology) Configurations
List of words with the suffix -ology
List_of_words_with_the_suffix_-ology
Indian biographer and popular historian
Against the wishes of his professors, who wanted Sampath to pursue a PhD in topology, he shifted to finance and obtained an MBA from S. P. Jain Institute of
Vikram_Sampath
Austrian mathematician who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory
List_of_agnostics
Swiss mathematician (1750–1840)
Huguenot descent. He is known for his work in mathematical analysis and topology, and in particular the generalization of Euler's formula for planar graphs
Simon_Antoine_Jean_L'Huilier
with the topology of circular DNA chromosomes during replication (subsequently resolved via the discovery of enzymes that modify DNA topology). These were
Obsolete models of DNA structure
Obsolete_models_of_DNA_structure
Book by Marvin Minsky and Seymour Papert
That is, if ψ {\textstyle \psi } is a boolean function that depends on topology can be implemented by a perceptron of order k {\textstyle k} , such that
Perceptrons_(book)
Aboriginal Australians and Torres Strait Islander peoples
clade after the Denisovan gene flow, although with the most supported topology indicating around 50% of a basal East Asian component contributing to the
Indigenous_Australians
ISBN 0-7864-1220-8. Beyer, Rick (2003). The Greatest Stories Never Told: 100 tales from history to astonish, bewilder, & stupefy. A&E Television Networks.
History_of_television
Social insects related to cockroaches
of Dictyoptera: the effect of outgroup selection on dictyopteran tree topology". Systematic Entomology. 33 (3): 429–450. Bibcode:2008SysEn..33..429W.
Termite
Topics referred to by the same term
Dragonfly (search engine), a prototype Dragonfly+, an InfiniBand network topology; for example see National Computational Infrastructure Dragonfly (1976
Dragonfly_(disambiguation)
American mathematician
American mathematician in the mid-twentieth century, known for his work in topology and mathematics education. Allendoerfer was born in Kansas City, the son
Carl_B._Allendoerfer
form in characteristic 2 (applied in knot theory and surgery theory) in topology, the Hasse–Arf theorem in ramification theory, Arf semigroups, and Arf
List_of_people_on_banknotes
British graphic designer (1902–1974)
Transport Museum’s Cubic Theatre. Kent, Alexander J. (1 February 2021). "When Topology Trumped Topography: Celebrating 90 Years of Beck's Underground Map". The
Harry_Beck
Basic unit of life forms
Griffiths, G. (December 2007). "Cell evolution and the problem of membrane topology". Nature Reviews. Molecular Cell Biology. 8 (12): 1018–1024. doi:10.1038/nrm2287
Cell_(biology)
Ancient city of Sumer and Babylonia
to 13 meters deep, were done in 2024 and 2025 and a virtual geophysical topology of the Uruk area was produced. A number of Proto-cuneiform clay tablets
Uruk
Former undersea telegraph cable
David and Charles, 1973 OCLC 655205099. Lindley, David, Degrees Kelvin: A Tale of Genius, Invention, and Tragedy, Joseph Henry Press, 2004 ISBN 0309167825
Transatlantic_telegraph_cable
Alternative decimal expansion of 1
dense. He calls the proof "an instructive exercise in elementary point-set topology"; it involves viewing sets of positional values as Stone spaces and noticing
0.999...
American multinational telecommunications and media conglomerate
Red-Nosed Reindeer, Frosty the Snowman, Turok, Casper the Friendly Ghost, VeggieTales among a number of others. Through Sky, Comcast offers any first-party and
Comcast
Study of narrative structures
graphic novels, the infinite canvas, and narrative sculptures linked to topology and graph theory. However, constituent analysis of a type where narremes
Narratology
Chinese-American mathematician (1914–2010)
and matrix theory, linear and nonlinear programming, complex analysis, topology, and topological groups. Fan's mathematical research is usually concerned
Ky_Fan
Data format used for audio compact discs
is an acronym derived from their patented Multi-stAge noiSe-sHaping PWM topology. The CD was primarily planned as the successor to the vinyl record for
Compact_Disc_Digital_Audio
American inventor (1906–1971)
Magazine, October 3, 1936. Schwartz, Evan I., The Last Lone Inventor: A Tale of Genius, Deceit & the Birth of Television, HarperCollins, 2002. ISBN 0-06-621069-0
Philo_Farnsworth
Mathematical measure of how much a curve or surface deviates from flatness
cylinder can both be given flat metrics, but differ in their topology. Other topologies are also possible for curved space . The mathematical notion of
Curvature
Device for sending telephone numbers
and Science in the Bell System Vol I. p. 578. Goodmann, Emily (2019). "A Tale of Two Networks: The Bell Telephone System and the Meaning of "Information
Rotary_dial
informally called the "shape" of the universe? Neither the curvature nor the topology is presently known, though the curvature is known to be "close" to zero
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
British physicist, engineer and mathematician (1824–1907)
approximately 25 scientists. Following the lead of Thomson and Tait, the branch of topology called knot theory was developed. Thomson's initiative in this complex
Lord_Kelvin
published on 15 May 1952. Kilby 1976, p. 649. Lojek 2007, pp. 2–3. "The Hapless Tale of Geoffrey Dummer". Electronic Product News. 2005. Archived from the original
Invention of the integrated circuit
Invention_of_the_integrated_circuit
Spiritual and pseudoscientific philosophy
ISBN 978-1-317-41951-8. Retrieved 7 July 2025. Sokolina, Anna (2024) [2023]. "Modernist Topologies: The Goetheanum In-Building". In French, Aaron; Waldner, Katharina (eds
Anthroposophy
(born in Ann Arbor) Edward Griffith Begle, mathematician specializing in topology, director of the School Mathematics Study Group (born in Saginaw) George
List_of_people_from_Michigan
Municipality in Krapina-Zagorje, Croatia
former protected monument of nature since 1965, where, according to folk tales, the rebellious serfs of the 1573 peasant fight were hung. As a continuation
Stubičke_Toplice
lie theory (Rutgers University) Peter Shalen (1962) – low-dimensional topology, Kleinian groups, hyperbolic geometry (University of Illinois at Chicago)
List of Stuyvesant High School people
List_of_Stuyvesant_High_School_people
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