Locally arcwise connected metrizable spaces with the fixed point property are complete-metrizable

被引：1

作者：

Niemiec, P ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 11期

关键词：

complete metrizability; local connectedness; fixed point property;

D O I：

10.1016/j.topol.2005.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Metrizable spaces which have no closed subset homeomorphic to the real halfline are considered. Complete-metrizability of such locally arcwise connected spaces is proved (Corollary 4) and a simple formula for a complete metric is given in Theorem 3. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：1639 / 1642

页数：4

共 50 条

[41] LEFSCHETZ FIXED-POINT THEOREM FOR NONCOMPACT LOCALLY CONNECTED SPACES
KNILL, RJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 174 (447) : 185 - 198
[42] EXISTENCE OF NON-METRIZABLE HEREDITARILY LINDELOF SPACES WITH POINT-COUNTABLE BASES
TALL, FD
DUKE MATHEMATICAL JOURNAL, 1974, 41 (02) : 299 - 304
[43] CHARACTERIZATION OF D+-STABLE DYNAMICAL-SYSTEMS ON LOCALLY COMPACT METRIZABLE-SPACES
STRANTZALOS, P
ARCHIV DER MATHEMATIK, 1989, 53 (02) : 194 - 200
[44] On the quasi-equivalence of orthogonal bases in non-archimedean metrizable locally convex spaces
Sliwa, W
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2002, 9 (03) : 465 - 472
[45] Deformation theorems on non-metrizable vector spaces and applications to critical point theory
Bartsch, Thomas
Ding, Yanheng
MATHEMATISCHE NACHRICHTEN, 2006, 279 (12) : 1267 - 1288
[46] The k-spaces property of the free Abelian topological groups over non-metrizable Lasnev spaces
Lin, Fucai
Liu, Chuan
TOPOLOGY AND ITS APPLICATIONS, 2017, 220 : 31 - 42
[47] On the countable tightness and the k-property of free topological groups over generalized metrizable spaces
Xie, Li-Hong
Lin, Shou
Li, Piyu
TOPOLOGY AND ITS APPLICATIONS, 2016, 209 : 198 - 206
[48] THE NASH-MOSER IMPLICIT FUNCTION THEOREM FOR NON-METRIZABLE LOCALLY CONVEX-SPACES
PROSTOV, YI
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1987, (06): : 29 - 33
[49] NON-METRIZABLE HEREDITARILY LINDELOF SPACES WITH POINT-COUNTABLE BASES FROM CH
VANDOUWEN, EK
TALL, FD
WEISS, WAR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 64 (01) : 139 - 145
[50] Fixed point theorems and the Krein-Smulian property in locally convex spaces
Wang, Fuli
Zhou, Hua
FIXED POINT THEORY AND APPLICATIONS, 2015,

← 1 2 3 4 5 →