Title of article
Cleavability and scattered sets of non-trivial fibers
Author/Authors
Levine، نويسنده , , Shari، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
9
From page
3171
To page
3179
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.
Keywords
Linearly ordered topological space (LOTS) , Cleavability , Scattered , Homeomorphism , Separable
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583491
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