Cleavability and scattered sets of non-trivial fibers

被引：3

作者：

Levine, Shari ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 14期

关键词：

Cleavability; Linearly ordered topological space (LOTS); Separable; Scattered; Homeomorphism;

D O I：

10.1016/j.topol.2012.06.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a partial answer to a problem posed by A.V. Arhangel'skii; 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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3171 / 3179

页数：9

共 10 条

[1]

[Anonymous], 1920, Fund. Math, DOI DOI 10.4064/FM-1-1-17-27

[2]

Arhangel'skii A.V., 1992, ANN NY ACAD SCI, V659, P18

[3]

Arhangelskii A, 1963, USP MAT NAUK, V18, P139

[4] A SURVEY OF CLEAVABILITY [J].