Compactness (mathematics) | Properties of topological spaces

Supercompact space

In mathematics, in the field of topology, a topological space is called supercompact if there is a subbasis such that every open cover of the topological space from elements of the subbasis has a subcover with at most two subbasis elements. Supercompactness and the related notion of was introduced by J. de Groot in 1967. (Wikipedia).

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Related pages

Compact space | Topological space | Total order | Tychonoff's theorem | Mathematics | Metrizable space | Stone–Čech compactification | Topology | Order topology | Hausdorff space