Modular operads and the nerve theorem
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107206
Abstract: Abstract We describe a category of undirected graphs which comes equipped with a faithful functor into the category of (colored) modular operads. The associated singular functor from modular operads to presheaves is fully faithful, and… read more here.
Keywords: nerve theorem; category; modular operads; operads nerve ... See more keywords
Simple homotopy theory and nerve theorem for categories
Sign Up to like & getrecommendations! 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