Locally Quasi-Convex Compatible Topologies on a Topological Group

Locally Quasi-Convex Compatible Topologies on a Topological Group

For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies on (G) that are compatible with (τ) (i.e., have the same dual as (G,τ) ordered by inclusion. Obviously, this poset has always a bottom element, namely the weak t...

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Bibliographic Details
Main Authors: Lydia Außenhofer, Dikran Dikranjan, Elena Martín-Peinador
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Axioms
Subjects:
locally quasi-convex topology
compatible topology
quasi-convex sequence
quasi-isomorphic posets
free filters
Mackey groups
Online Access:http://www.mdpi.com/2075-1680/4/4/436

Internet

http://www.mdpi.com/2075-1680/4/4/436

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