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Author Archives: Jeremy Brazas
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 Reduced Paths (Part III)
In this last post about reduced paths, I’m going to work through the details of one of the most useful results in wild topology. Writing this post helped me work out my own way of proving this result and hopefully … Continue reading
Homotopically Reduced Paths (Part II)
Understanding this post requires reading Part I where I explain what reduced paths are and how we might go about proving they exist. In this second part, I’ll go into detail about how to use Zorn’s lemma to identifying a … Continue reading