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Homotopy theory, homological algebra, algebraic treatments of manifolds.

1 vote
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Reference request: Compact metrizable semilattices with small connected semilattices are abs...

Let $X$ be a compact metrizable topological semilattice with a neighbourhood base of sub-semilattices that are path-connected. I need a reference for a proof that $X$ is an absolute retract. Here is w …
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Does this result exist in the literature?

Of course there are results implying such things in degree theory and as @unknown (google) mentions. Our "teaching" proof of Sperner's Lemma here http://link.springer.com/article/10.1007%2Fs00199-007 …
Rabee Tourky's user avatar