Locally compact path spaces

被引：0
|
作者：
Niefield, SB [1 ]
机构：
[1] Union Coll, Schenectady, NY 12308 USA
来源：
APPLIED CATEGORICAL STRUCTURES | 2005年 / 13卷 / 01期
关键词：
locally compact; compact-open topology; path space;
D O I：
10.1007/s10485-004-5012-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the space X-[0,X-1], of continuous maps [0, 1] --> X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. For a T-1-space X, it follows that X-[0,X-1] is locally compact if and only if X is locally compact and totally path-disconnected.
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页码：65 / 69
页数：5
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