Geodesic
Higher Segal spaces via higher excision
Theory and applications of categories, Tome 35 (2020), pp. 1048-1086
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We show that the various higher Segal conditions of Dyckerhoff and Kapranov can all be characterized in purely categorical terms by higher excision conditions (in the spirit of Goodwillie--Weiss manifold calculus) on the simplex category Δ and the cyclic category Λ.

Publié le :
Classification : 18Nxx, 18N50, 18F50
Keywords: Simplicial objects, cyclic objects, higher Segal objects, excision, manifold calculus 
@article{TAC_2020_35_a27,
     author = {Tashi Walde},
     title = {Higher {Segal} spaces via higher excision},
     journal = {Theory and applications of categories},
     pages = {1048--1086},
     year = {2020},
     volume = {35},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a27/}
}
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Tashi Walde. Higher Segal spaces via higher excision. Theory and applications of categories, Tome 35 (2020), pp. 1048-1086. http://geodesic.mathdoc.fr/item/TAC_2020_35_a27/