TY - Type of reference TI - [FORTHCOMING] On the locally compact vector groups 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 - TBA JF - Advances in Pure and Applied Mathematics 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 - en PB - ISTE OpenScience DA - 2025/11/19 SN - 1869-6090 TT - [FORTHCOMING] Sur les groupes vectoriels localement compacts UR - https://www.openscience.fr/On-the-locally-compact-vector-groups IS - Forthcoming papers
VL - ER -