TY - Type of reference TI - [FORTHCOMING] Sur les groupes vectoriels localement compacts AU - Batoul Yousefipour AU - S. Sajjad Gashti AU - Hassan Myrnouri AB - 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. DO - À venir JF - Avancées en Mathématiques Pures et Appliquées KW - Topological group, Topological vector group, Locally compact, Absorbing set, Topological vector space, Topological group, Topological vector group, Locally compact, Absorbing set, Topological vector space, L1 - LA - fr PB - ISTE OpenScience DA - 2025/11/19 SN - 1869-6090 TT - [FORTHCOMING] On the locally compact vector groups UR - https://www.openscience.fr/Sur-les-groupes-vectoriels-localement-compacts IS - Articles à paraître
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