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Tweets
Tweets by jtbrazas-
This work is licensed under a Creative Commons Attribution 4.0 International License.
Author Archives: Jeremy Brazas
The fundamental group of the earring space
Here is one of my favorite spaces: The earring space, i.e. the “shrinking wedge of circles.” This space is the first step into the world of “wild” topological spaces. This post is meant to be an introduction into how one … Continue reading
The Cech Expansion: nerves of open covers
The Whitehead theorem in homotopy theory basically says that to fully understand the homotopy type of a CW-complex one only needs to know about the homotopy groups (really, the weak homotopy type). It is very easy to produce spaces to … Continue reading
A starting place
Homotopy in wild spaces If I’m thinking about wild topology, I’m probably thinking about topological spaces (geometric-type objects) which have points where non-trivial structure is visible no matter how far you zoom in. Though I’m not so interested in generating … Continue reading
Posted in earring space, Homotopy theory
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Wild Topology 