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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
Inverse limits of planar Peano continua are not always planar
Recently, I ran into a situation where I had an inverse sequence of *planar Peano continua. I wondered naively if the limit of such a sequence always had to be planar. It turns out the answer is no, even in … Continue reading
The “tau topology” on the fundamental group
In the multipart series on topologies on fundamental groups, we’ve discussed the fundamental group with the quotient topology: . This is defined as having the quotient topology with respect to the map , that identifies homotopic loops. Here, is the … Continue reading
Posted in Category Theory, coreflection functor, Fundamental group, Quasitopological groups, quasitopological groups, quotient topology, reflection functor, topological fundamental group, Topological groups, Uncategorized
Tagged free topological group, fundamental group, quasitopological group, reflection functor, topological group, van-Kampen theorem, wedge of circles
1 Comment
Topological Group Reflections: turning a group with topology into a topological group, Part II
In Part I, we discussed the operation , which takes in a group equipped with a topology (that does not necessarily interact nicely with the operations of the group) and outputs a topological group. The underlying group of is the … Continue reading
Posted in Categorical Topology, Category Theory, General topology, quasitopological groups, quotient topology, reflection functor, Topological groups, Uncategorized
Tagged categorical topology, category, continuous homomorphism, functor, quasitopological group, reflection functor, topological group, transfinite induction
3 Comments
Wild Topology 