Year: 2025
Type: article
Abstract: In order to make the fundamental group (one of the most well-known invariants in algebraic topology) more useful and powerful, some researchers have introduced and studied various topologies on the fundamental group from the beginning of the 21st century onwards. In this paper, first we recall and review these topologies and then using the concept of subgroup topology, we compare these topologies in order to present some results on topologized fundamental groups.
Source: Mathematica Slovaca
DOI: 10.1515/ms-2025-0015
Authors: Naghmeh Shahami, Behrooz Mashayekhy
Institution: Ferdowsi University of Mashhad
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407937601