✦ LIBER ✦

Some properties of locally quasi-convex groups

✍ Scribed by M. Montserrat Bruguera

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 264 KB
Volume: 77
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00133-2

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✦ Synopsis

We prove in this paper that for a Hausdorff group topology on an Abelian group with sufficiently many continuous characters, there is an associated locally quasi-convex topology which is the strongest among all the locally quasi-convex group topologies weaker than the given one. We a/so give a result on local quasi-convexity on the line of three-space properties.

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