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.

引用

页码：65 / 69

页数：5

共 50 条

[21] On groups with locally compact asymptotic cones
Sapir, Mark
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2015, 25 (1-2) : 37 - 40
[22] Applications of some strong set-theoretic axioms to locally compact T5 and hereditarily scwH spaces
Nyikos, PJ
FUNDAMENTA MATHEMATICAE, 2003, 176 (01) : 25 - 45
[23] Itô maps and analysis on path spaces
K. D. Elworthy
Xue-Mei Li
Mathematische Zeitschrift, 2007, 257 : 643 - 706
[24] GEOMETRIC STRUCTURES ON PATH SPACES
Biswas, Indranil
Chatterjee, Saikat
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (07) : 1553 - 1569
[25] FINITE UNIONS OF LOCALLY NICE SPACES
STONE, AH
TOPOLOGY AND ITS APPLICATIONS, 1991, 41 (1-2) : 57 - 64
[26] Continuous cocycles on locally compact groups: II
Ebanks, Bruce
Stetkaer, Henrik
AEQUATIONES MATHEMATICAE, 2010, 80 (1-2) : 57 - 83
[27] Semigroup completions of locally compact Abelian groups
Keyantuo, Valentin
Zelenyuk, Yevhen
TOPOLOGY AND ITS APPLICATIONS, 2019, 263 : 199 - 208
[28] Continuous cocycles on locally compact groups: II
Bruce Ebanks
Henrik Stetkær
Aequationes mathematicae, 2010, 80 : 57 - 83
[29] Geodesics on path spaces and double category
Chatterjee, Saikat
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (01)
[30] Ito maps and analysis on path spaces
Elworthy, K. D.
Li, Xue-Mei
MATHEMATISCHE ZEITSCHRIFT, 2007, 257 (03) : 643 - 706

← 1 2 3 4 5 →