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Tweets
Tweets by jtbrazas-
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Tag Archives: functor
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
The locally path-connected coreflection (Part I)
Say you’ve got some path-connected space and you want to know about it’s fundamental group . But isn’t locally path-connected so pretty much any standard tools in algebraic topology aren’t going to help you out. What’s an algebraic topologist to … Continue reading
Wild Topology 