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Category Archives: Covering Space Theory
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
What is a semicovering map?
I’ve heard twice in the past year from folks who study nonArchimedian geometry and have found connections to “semicoverings,” which are a generalization of covering maps used in wild topology. The questions I received had me revisiting the basics and … Continue reading
Homotopically Hausdorff Spaces (Part I)
In previous posts, I wrote about the harmonic archipelago (see also here and here): as well as the Griffiths Twin Cone . One special feature of these 2dimensional spaces is that any loop either of these spaces can be deformed to lie … Continue reading