Category Archives: Algebraic Topology

Topologized Fundamental Groups: The Whisker Topology, Part 2

Posted on May 24, 2022 by Jeremy Brazas

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 | Leave a comment

Topologized Fundamental Groups: The Whisker Topology, Part 1

Posted on May 18, 2022 by Jeremy Brazas
Posted in Covering Space Theory, Fundamental group, topological fundamental group, Topological groups | 1 Comment

How to “topologize” the fundamental group: a primer

Posted on April 26, 2022 by Jeremy Brazas

The fundamental group, from algebraic topology, is one of the most widely used invariants in mathematics. Topological groups, such as pro-finite groups, Lie groups, ordered groups, etc, also arise in many different areas. So it’s natural to ask, can the … Continue reading →

Posted in Algebraic Topology, Fundamental group, Topological groups, Uncategorized | Tagged , , , , | 2 Comments