Tag Archives: locally path connected space

Local n-connectivity vs. the LC^n Property, Part I

Posted on October 8, 2023 by Jeremy Brazas

I’m going to take a little break from the topologized fundamental group series for a bit. That’s a long series and a distraction might be nice. Right now, I’m going to share a little about a property I’ve been running … Continue reading →

Posted in Dendrite, first uncountable ordinal, Higher Homotopy groups, locally path connected, one-dimensional spaces, path components | Tagged first countable space, LC^n, locally n-connected space, locally path connected space, omega_1, sequentially 0-connected space | 1 Comment

The locally path-connected coreflection (Part III)

Posted on December 6, 2014 by Jeremy Brazas

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 arc hedgehog, categorical topology, coreflective hull, locally path connected space, quotient space | 8 Comments

Tag Archives: locally path connected space

Local n-connectivity vs. the LC^n Property, Part I

The locally path-connected coreflection (Part III)

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