Title of article
Topologies on the direct sum of topological Abelian groups
Author/Authors
Chasco، نويسنده , , M.J. and Dom?́nguez، نويسنده , , X.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2003
Pages
15
From page
209
To page
223
Abstract
We prove that the asterisk topologies on the direct sum of topological Abelian groups, used by Kaplan and Banaszczyk in duality theory, are different. However, in the category of locally quasi-convex groups they do not differ, and coincide with the coproduct topology.
Keywords
Topological Abelian group , Direct sum , Asterisk topology , Locally quasi-convex group , Coproduct topology
Journal title
Topology and its Applications
Serial Year
2003
Journal title
Topology and its Applications
Record number
1580437
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