Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659115 | Topology and its Applications | 2012 | 9 Pages |
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