Topological groups: local versus global
It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients. Similar ‘local implies global’ theorems hold also for many othe...
Main Authors: | A.V. Arhangelskii, Vladimir V. Uspenskij |
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Format: | Article |
Language: | English |
Published: |
Universitat Politècnica de València
2006-04-01
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Series: | Applied General Topology |
Subjects: | |
Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1933 |
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