Geodesic
Higher Segal spaces via higher excision
Theory and applications of categories, Tome 35 (2020), pp. 1048-1086

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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},
     publisher = {mathdoc},
     volume = {35},
     year = {2020},
     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/