Linear homeomorphic classification of spaces of continuous functions defined on SA

被引：0

作者：

Khmyleva, T. ^{[1
]}

Sukhacheva, E. ^{[1
]}

机构：

[1] Tomsk State Univ, Fac Mech & Math, 36 Lenina Ave, Tomsk 634050, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 275卷

基金：

俄罗斯基础研究基金会;

关键词：

Sorgenfrey line; Condensation point; Baire space; Linear homeomorphism; Space of continuous functions endowed with the topology of pointwise convergence;

D O I：

10.1016/j.topol.2019.107024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a subset A of the real line R, modification of the Sorgenfrey line S-A is a topological space whose underlying points set is the reals R and whose topology id defined as follows: points from A are given the neighbourhoods of the right arrow while remaining points are given the neighbourhoods of the Sorgenfrey line S(or left arrow). A necessary and sufficient condition under which the space C-p(S-A) is linearly homeomorphic to C-p(S) is obtained. (c) 2019 Elsevier B.V. All rights reserved.

引用

页数：6

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