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Simple homotopy theory and nerve theorem for categories

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1 Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2021.107609

Abstract: Abstract We study a combinatorial homotopy theory for small categories without a loop (loopfree categories) which is closely related to Whitehead's simple homotopy theory for regular CW-complexes with triangular cells. Quillen's theorem A and the… read more here.

Keywords: nerve theorem; simple homotopy; homotopy; homotopy theory ... See more keywords