Article ID Journal Published Year Pages File Type
5777999 Topology and its Applications 2017 12 Pages PDF
Abstract
Conditions on equivalence of topological or uniform spaces having equivalent compactifications are investigated. For instance: (1) Let X,Y be Čech-complete, pseudoradial spaces complete in their compactifications bX,bY. If the compactifications are homeomorphic then X,Y are homeomorphic. (2) Let X,Y be products of complete uniform spaces having linearly ordered bases. If their Samuel compactifications are homeomorphic then X and Y are uniformly homeomorphic.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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