Semantic Apparatus – Duality of locally quasi-convex convergence groups

Cited by Lee Sonogan

Convex functions Lecture 7 - ppt download

Abstract by Sharma, Pranav

In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality. We prove that local quasi-convexity is a necessary condition for a convergence group to be c-reflexive. Further, we prove that every character group of a convergence group is locally quasi-convex.

Publication: Universitat Politècnica de València (Peer-Reviewed Journal)

Pub Date: 1 Apr, 2021 Doi: 10.4995/agt.2021.14585

Keywords: Continuous duality , Convergence groups , Local quasi-convexity , Pontryagin duality (Plenty more sections and references in this research article)

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