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
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
Journal title :
Topology and its Applications
