Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 3 (June 2026) > Article
Batoul Yousefipour
Islamic Azad University
Iran
S. Sajjad Gashti
Islamic Azad University
Iran
Hassan Myrnouri
Islamic Azad University
Iran
Published on 1 July 2026 DOI : 10.21494/ISTE.OP.2026.1468
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
