Article ID Journal Published Year Pages File Type
4660070 Topology and its Applications 2016 6 Pages PDF
Abstract

A proper shape is presented using an intrinsic definition and only finite coverings of open sets with compact boundary. For locally compact separable metric spaces with compact spaces of quasicomponents, it is shown: If X and Y have the same proper shape over finite coverings then their end points compactifications FX and FY have the same shape.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology