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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

5 votes
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494 views

space of homotopy equivalences of $S^1$

Does the space of homotopy equivalences of $S^1$ deformation retract onto the space of homeomorphisms of $S^1$? If so, does anyone have a reference? I found that Kneser proved that $Homeo(S^1)$ de …
Aaron Magid's user avatar