Sums of almost zero-dimensional spaces

被引：0

作者：

Abry, Mohammad

Dijkstra, Jan J.

Van Mill, Jan

机构：

来源：

Topology Proceedings, Vol 29, No 1, 2005 | 2005年 / 29卷 / 01期

关键词：

almost zero-dimensional; zero-dimensional; retract; sum theorem; complete Erdos space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Almost zero-dimensionality is a relatively new dimension theoretic concept that fits neatly between zero- and one-dimensionality. In this note we investigate to which extent familiar properties of dimension carry over to almost zero-dimensionality. We are particularly interested in sum theorems.

引用

页码：1 / 12

页数：12

共 13 条

[1] ABRY M, IN PRESS MATH ANN
[2] [Anonymous], 1924, FUND MATH
[3] Complete Erdos space is unstable
Dijkstra, JJ
Van Mill, J
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2004, 137 : 465 - 473
[4] Homeomorphism groups of manifolds and Erdos space
Dijkstra, JJ
Van Mill, J
[J]. ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 10 : 29 - 38
[5] DIJKSTRA JJ, IN PRESS P ED MATH S
[6] DIJKSTRA JJ, ERDOS SPACE HOMEOMOR
[7] Engelking R., 1995, SIGMA SERIES PURE MA, V10
[8] The dimension of the rational points in Hilbert space
Erdos, P
[J]. ANNALS OF MATHEMATICS, 1940, 41 : 734 - 736
[9] The dimension of cartesian products
Hurewicz, W
[J]. ANNALS OF MATHEMATICS, 1935, 36 : 194 - 197
[10] Kawamura K, 1996, FUND MATH, V150, P97

← 1 2 →