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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Articles à paraître   > Article

[FORTHCOMING] Sur les groupes vectoriels localement compacts

[FORTHCOMING] On the locally compact vector groups


Batoul Yousefipour
Islamic Azad University
Iran

S. Sajjad Gashti
Islamic Azad University
Iran

Hassan Myrnouri
Islamic Azad University
Iran



Validé le 16 novembre 2025   DOI : À venir

Résumé

Abstract

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This paper presents a necessary and sufficient condition for a topological vector group to be locally compact. We also introduce several sufficient conditions that ensure the local compactness of topological vector groups. Furthermore, we establish a sufficient condition for a topological vector group to be first countable.

This paper presents a necessary and sufficient condition for a topological vector group to be locally compact. We also introduce several sufficient conditions that ensure the local compactness of topological vector groups. Furthermore, we establish a sufficient condition for a topological vector group to be first countable.

Topological group Topological vector group Locally compact Absorbing set Topological vector space

Topological group Topological vector group Locally compact Absorbing set Topological vector space

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