Remainders in extensions and finite unions of locally compact sets

被引：0

作者：

Chatyrko, V. A. ^{[1
]}

Hattori, Y. ^{[2
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

[2] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan

来源：

ACTA MATHEMATICA HUNGARICA | 2010年 / 128卷 / 04期

基金：

日本学术振兴会;

关键词：

locally compact; remainder; extension; compactification; COMPACTIFICATIONS; QUESTION;

D O I：

10.1007/s10474-010-9204-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the relationship between properties of spaces and their remainders in extensions from the class P (fin) of all finite unions of locally compact spaces. In particular, we show that a space X a P (fin) iff the remainder in each (some) compactification of X is in P (fin). Then we study the class P (fin) and the relationship between the remainders of a space from this class in compact extensions and give a generalization of the theorem of Henriksen-Isbell.

引用

页码：344 / 357

页数：14

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