Article ID Journal Published Year Pages File Type
4659115 Topology and its Applications 2012 9 Pages PDF
Abstract

In this paper, we provide a partial answer to a problem posed by A.V. Arhangelʼskiĭ; we show that if X is a compactum cleavable over a separable linearly ordered topological space (LOTS) Y such that for some continuous function f from X to Y, the set of points on which f is not injective is scattered, then X is a LOTS.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology