Chennai Mathematical Institute


Research Methodology Seminar
Date: Tuesday, 11 April, 2023.
Time: 3:30 PM
Venue: Lecture Hall 1
On Fundamental Groups of one dimensional spaces

Khushbu Gulati



The Hawaiian Earring is an interesting one dimensional topological space whose fundamental group is known to be uncountable and not free. In this talk, we explore some results about one dimensional spaces and the theorem that the fundamental group of a one dimensional, compact, connected metric space embeds in an inverse limit of finitely generated free groups and thus, is locally free and residually free.