COMPLETION THEOREM FOR COHOMOLOGICAL DIMENSIONS

Authors
OLSZEWSKI W
Citation
W. Olszewski, COMPLETION THEOREM FOR COHOMOLOGICAL DIMENSIONS, Proceedings of the American Mathematical Society, 123(7), 1995, pp. 2261-2264
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
7
Year of publication
1995
Pages
2261 - 2264
Database
ISI
SICI code
0002-9939(1995)123:7<2261:CTFCD>2.0.ZU;2-H
Abstract
We prove that for every separable metrizable space X with dim(G) X les s than or equal to n, there exists a metrizable completion Y of X with dim(G) Y less than or equal to n provided that G is either a countabl e group or a torsion group, and with dim(G) Y less than or equal to n + 1 if G is an arbitrary group.