Universal spaces for finite-dimensional closed images of locally compact metric spaces

被引：0

作者：

Kawamura, K

Tsuda, K

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan

[2] Ehime Univ, Fac Engn, Dept Elect & Elect Engn, Lab Appl Math, Matsuyama, Ehime 790, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 1998年 / 85卷 / 1-3期

关键词：

Lasnev space; universal space; locally compact space; closed map; approaching anti-cover; UVn-property;

D O I：

10.1016/S0166-8641(97)00149-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For each nonnegative integer n, we show the existence of a universal space for the class of all at most n-dimensional closed images of locally compact separable metric spaces. For the construction, we use some properties of universal Menger compacta and a construction of UVn-maps due to Ferry. We also discuss the nonseparable cases under a certain condition on the weight of metric spaces. (C) 1998 Published by Elsevier Science B.V.

引用

页码：175 / 193

页数：19

共 50 条

[21] On the cs-images of locally compact metric spaces
Li, Zhao-Wen
Changsha Dianli Xueyuan Xuebao/Journal of Changsha University of Electric Power, 2002, 17 (01):
[22] UNIVERSAL SPACES FOR CLOSED IMAGES OF SIGMA-DISCRETE METRIC-SPACES
TSUDA, K
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1994, 37 (03): : 419 - 427
[23] ON FINITE-DIMENSIONAL CHEBYSHEV SUBSPACES OF SPACES WITH AN INTEGRAL METRIC
RAKHMETOV, NK
MATHEMATICS OF THE USSR-SBORNIK, 1993, 74 (02): : 361 - 380
[24] CLOSED MAPPINGS OF SIGMA-LOCALLY COMPACT METRIC SPACES
STRICKLEN, SA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) : 221 - 224
[25] Finite-Dimensional Approximations of Operators in the Hilbert Spaces of Functions on Locally Compact Abelian Groups
S. Albeverio
E. I. Gordon
A. Yu. Khrennikov
Acta Applicandae Mathematica, 2000, 64 : 33 - 73
[26] Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups
Albeverio, S
Gordon, EI
Khrennikov, AY
ACTA APPLICANDAE MATHEMATICAE, 2000, 64 (01) : 33 - 73
[27] Universal actions and representations of locally finite groups on metric spaces
Michal Doucha
Israel Journal of Mathematics, 2019, 231 : 343 - 377
[28] Universal actions and representations of locally finite groups on metric spaces
Doucha, Michal
ISRAEL JOURNAL OF MATHEMATICS, 2019, 231 (01) : 343 - 377
[29] On Compact-covering Images of Locally Separable Metric Spaces
Nguyen Van Dung
KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (03): : 425 - 433
[30] CLOSED IMAGES OF METRIC SPACES
HARLEY, PW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A29 - A29

← 1 2 3 4 5 →