Properties of topological spaces

Rickart space

In mathematics, a Rickart space (after Charles Earl Rickart), also called a basically disconnected space, is a topological space in which open σ-compact subsets have compact open closures. named them after C. E. Rickart, who showed that Rickart spaces are related to monotone σ-complete C*-algebras in the same way that Stonean spaces are related to AW*-algebras. Rickart spaces are totally disconnected and sub-Stonean spaces. (Wikipedia).

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Related pages

Compact space | Topological space | Charles Earl Rickart | Sub-Stonean space | C*-algebra | AW*-algebra