Sentence examples for be a compact topological from inspiring English sources

Let be a compact topological space.

Let be a compact topological space and a function lsca.

Let be a compact topological space, and let be an -space.

Let X be a compact topological space and Y be a metric space.

Corollary 4.9 Let Y be a compact topological space or a metric space, let { F 0, F 1, …, F n } be a family of closed subsets of Y.

Lemma 5.1 Let X be a subset of linear topological space, let Y be a compact topological space, and let s : X ↦ 2 Y be an upper semi-continuous mapping with nonempty, closed and contractible values.

Note that in [9], T is a compact topological space.

Let be a Jordan domain, that is, a bounded oriented connected open subset of whose boundary is a compact topological surface.

It is easily seen that ((X,d)) is a complete (T_{1}) quasi-metric space (in fact, note ((X,tau_{d^{-1}})) is a compact topological space).

If Y is a compact topological space and ( Y, C ) is of H q -property, then X has a strong Fan-Browder fixed point property.

If S is a compact topological space, then it is also known that the space of continuous real functions (mathcal{C}(S)) with its usual norm (VertcdotVert_{infty}) is a Banach subalgebra of (B(S)).