Category Archives: Covering Space Theory

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 | Leave a comment

Topologized Fundamental Groups: The Whisker Topology, Part 1

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

When is a local homeomorphism a semicovering map?

In a previous post “What is a Semicovering Map?,” I gave an introduction to semicovering maps. A semicovering is a slight generalization of covering map that becomes particularly relevant when you’re dealing with locally complicated spaces. In particular, a semicovering … Continue reading

Posted in Algebraic Topology, Covering Space Theory, Fundamental group, Generalized covering space theory, semicovering | Leave a comment