๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Countably compact groups satisfying the open mapping theorem

โœ Scribed by Dikran Dikranjan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
349 KB
Volume
98
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

โœฆ Synopsis

We discuss the structure and Cartesian products of the countably compact groups G that satisfy the following forms of the open mapping theorem: (a) every continuous surjective homomorphism

๐Ÿ“œ SIMILAR VOLUMES

The invariance of domain theorem for cou
The invariance of domain theorem for countably 1-set-contractive mappings
โœ Juan A. Gatica; Yun-Ho Kim ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 281 KB

The purpose of this paper is to extend the invariance of domain theorem to a large class of countably 1-ฮณ -contractive maps, by using homotopy theory and degree theory for countably 1-ฮณ -contractive maps.

On the number of countably compact group
On the number of countably compact group topologies on a free Abelian group
โœ Artur Hideyuki Tomita ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

We show under MA(ฯƒ -centered) the existence of at least (2 ฯ‰ ) + non-homeomorphic topological group topologies on the free Abelian group of size 2 ฯ‰ which make it countably compact and separable. In particular, under GCH the maximum possible number of such topologies is attained. As a corollary, we