Titre : On the locally compact vector groups Auteurs : Batoul Yousefipour , S. Sajjad Gashti , Hassan Myrnouri, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 3 (June 2026) Volume : 17 Date : 2026/07/1 DOI : 10.21494/ISTE.OP.2026.1468 ISSN : 1869-6090 Résumé : 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. Éditeur : ISTE OpenScience