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• Sub-Stonean space

In topology, a sub-Stonean space is a locally compact Hausdorff space such that any two open σ-compact disjoint subsets have disjoint compact closures

Sub-Stonean space

Sub-Stonean_space

• Stone–Čech remainder

Topology in mathematics

Stone–Čech remainder of a σ-compact and locally compact Hausdorff space is a sub-Stonean space, i.e., any two open σ-compact disjoint subsets have disjoint

Stone–Čech remainder

Stone–Čech_remainder

• Rickart space

explicitly discussed in Fritz & Lorenzin (2025). Rickart spaces are totally disconnected and sub-Stonean spaces. See Section 22, specifically Theorem 12, in Halmos

Rickart space

Rickart_space

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