Category Archives: Topological groups

Topologized Fundamental Groups: The Whisker Topology, Part 3

In Part 1 and Part 2, I gave detailed introductory exposition about the whisker topology on the fundamental group. In general, this topologized fundamental group is a left topological group and therefore a homogeneous space. Moreover, whenever this group is … Continue reading

Posted in Covering Space Theory, Fundamental group, Higher Homotopy groups, homotopically Hausdorff, Infinite Group Theory, Infinite products, topological fundamental group, Topological groups | Leave a comment

Topologized Fundamental Groups: The Whisker Topology, Part 2

This post is the second on the “whisker topology” on fundamental groups, in a larger sequence of posts on topologized fundamental groups. If you haven’t seen it, you’ll probably want to start with the first post to get the basic … Continue reading

Posted in Covering Space Theory, Fundamental group, topological fundamental group, Topological groups | 1 Comment

Topologized Fundamental Groups: The Whisker Topology, Part 1

Posted in Covering Space Theory, Fundamental group, topological fundamental group, Topological groups | 2 Comments