Article ID Journal Published Year Pages File Type
4659763 Topology and its Applications 2012 7 Pages PDF
Abstract

A closed topological n-manifold Mn is of S2 (resp. P2)-category 2 if it can be covered by two open subsets W1, W2 such that the inclusions Wi→Mn factor homotopically through maps Wi→S2 (resp. P2). We characterize all closed n-manifolds of S2-category 2 and the fundamental groups of all closed n-manifolds of P2-category 2.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology