Title of article
Closure operators in topological groups related to von Neumannʹs kernel
Author/Authors
Dikranjan، نويسنده , , Dikran، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2006
Pages
26
From page
1930
To page
1955
Abstract
We study a family of idempotent categorical closure operators in the category of topological Abelian groups (and continuous homomorphisms) related to the von Neumannʹs kernel. The prominent role is played by the idempotent closure operator g also related to questions from Diophantine approximations and ergodic theory.
Keywords
closure operator , Von Neumannיs kernel , MAP group , (Locally) compact Abelian group , Precompact Abelian group , Bohr topology , g -closure , Topologically torsion element , g -dense subgroup , g -closed subgroup , Haar measure , Convergent sequence , Preradical
Journal title
Topology and its Applications
Serial Year
2006
Journal title
Topology and its Applications
Record number
1580820
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