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Tweets by jtbrazas-
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Category Archives: locally path connected
Local n-connectivity vs. the LC^n Property, Part 2
In Part 1, I defined local n-connectivity, which says that a space has a basis of n-connected open sets, and the porperty, which says that for all , “small” maps from the -sphere contract using “small” homotopies of “relatively the … Continue reading
Posted in Algebraic Topology, Examples, General topology, Higher Homotopy groups, Homotopy theory, locally n-connected spaces, locally path connected, Peano continuum, Uncategorized
Tagged cone over a space, counterexample, LC^n space, locally n-connected space, Peano continuum, shrinking wedge, space-filling curve
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Local n-connectivity vs. the LC^n Property, Part I
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
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
Wild Topology 