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Tweets
Tweets by jtbrazas-
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Category Archives: Peano continuum
Inverse limits of planar Peano continua are not always planar
Recently, I ran into a situation where I had an inverse sequence of *planar Peano continua. I wondered naively if the limit of such a sequence always had to be planar. It turns out the answer is no, even in … Continue reading
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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Shape injectivity of the earring space (Part II)
This is the sequel to Shape injectivity of the earring space (Part I) We’re on our way to proving the canonical homomorphism from the earring group to the inverse limit of free groups is injective. Part I was mostly dedicated … Continue reading
Wild Topology 