CLOSED MAPS ON METRIC SPACES

被引：7

作者：

Tanaka, Yoshio ^{[1
]}

机构：

[1] Tokyo Gakugei Univ, Tokyo, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 1980年 / 11卷 / 01期

关键词：

closed map; Lindelof space; Frechet space; k-network; weak topology;

D O I：

10.1016/0166-8641(80)90019-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The following result is proved: Let Y be the image of a metric space X under a closed map f. Then every partial derivative f(-1)(y) is Lindelof if and only if Y has a point-countable k-network.

引用

页码：87 / 92

页数：6

共 50 条

[21] Sobolev and Dirichlet spaces over maps between metric spaces
Kuwae, K
Shioya, T
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2003, 555 : 39 - 75
[22] K-SPACES AND PRODUCTS OF CLOSED IMAGES OF METRIC SPACES
GRUENHAGE, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 80 (03) : 478 - 482
[23] Quasisymmetry and solidity of quasiconformal maps in metric spaces
Cheng, Tao
Jiang, Peng
Yang, Shanshuang
STUDIA MATHEMATICA, 2023, 272 (02) : 199 - 219
[24] Uniqueness theorems for harmonic maps into metric spaces
Mese, C
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2002, 4 (04) : 725 - 750
[25] Nonseparable analytic metric spaces and quotient maps
Hansell, RW
TOPOLOGY AND ITS APPLICATIONS, 1998, 85 (1-3) : 143 - 152
[26] Sequence-covering maps of metric spaces
Lin, S
Yan, PF
TOPOLOGY AND ITS APPLICATIONS, 2001, 109 (03) : 301 - 314
[27] A Schwarz lemma of harmonic maps into metric spaces
Wang, Jie
ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (11): : 5966 - 5974
[28] EXPANDING MAPS ON COMPACT METRIC-SPACES
REDDY, WL
TOPOLOGY AND ITS APPLICATIONS, 1982, 13 (03) : 327 - 334
[29] Quasiconformal curves and quasiconformal maps in metric spaces
Hitruhin, Lauri
Tsantaris, Athanasios
ANALYSIS AND GEOMETRY IN METRIC SPACES, 2025, 13 (01):
[30] Quasiconformal maps in metric spaces with controlled geometry
Heinonen, J
Koskela, P
ACTA MATHEMATICA, 1998, 181 (01) : 1 - 61

← 1 2 3 4 5 →