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Tweets
Tweets by jtbrazas-
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Tag Archives: Peano continuum
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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The fundamental group of the earring space
Here is one of my favorite spaces: The earring space, i.e. the “shrinking wedge of circles.” This space is the first step into the world of “wild” topological spaces. This post is meant to be an introduction into how one … Continue reading
Wild Topology 