|ISSN 1088-6826(online) ISSN 0002-9939(print)|
Complexes with the disappearing closed set property
Abstract: A topological space X is said to have the disappearing closed set (DCS) property if and only if for every proper closed subset C there is a sequence of homeomorphisms , of X onto X, and a decreasing sequence of open subsets , of X such that and . Theorem. A finite simplicial n-complex is an n-manifold if and only if it has the DCS property.
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