Tag Archives: categorical topology

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 , , , , , , , | 3 Comments

The locally path-connected coreflection (Part III)

This post gives another look at the locally path-connected coreflection that I’ve found quite interesting and useful. For the previous posts see Part I and Part II. In this post, we’ll be motivated by the following two basic observations. Lemma … Continue reading

Posted in Categorical Topology, Category Theory, coreflection functor, locally path connected | Tagged , , , , | 8 Comments