Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Verity, Dominic"'
Autor:
NISHIMURA, Hirokazu
Publikováno v:
Zentralblatt MATH.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::5720ea081a3ec81440397e3c33d04e14
https://tsukuba.repo.nii.ac.jp/records/2005951
https://tsukuba.repo.nii.ac.jp/records/2005951
Autor:
Riehl, Emily, Verity, Dominic
An important result in quasi-category theory due to Lurie is the that cocartesian fibrations are exponentiable, in the sense that pullback along a cocartesian fibration admits a right Quillen right adjoint that moreover preserves cartesian fibrations
Externí odkaz:
http://arxiv.org/abs/2101.09853
We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated $N$-complicial sets (which are a proposed model of $(\infty,N)$-categories), in the form of a Quillen bifunctor and a
Externí odkaz:
http://arxiv.org/abs/2007.01235
Autor:
Riehl, Emily, Verity, Dominic
In previous work, we introduce an axiomatic framework within which to prove theorems about many varieties of infinite-dimensional categories simultaneously. In this paper, we establish criteria implying that an $\infty$-category - for instance, a qua
Externí odkaz:
http://arxiv.org/abs/1808.09835
Autor:
Riehl, Emily, Verity, Dominic
In this paper we prove that various quasi-categories whose objects are $\infty$-categories in a very general sense are complete: admitting limits indexed by all simplicial sets. This result and others of a similar flavor follow from a general theorem
Externí odkaz:
http://arxiv.org/abs/1808.09834
Autor:
Riehl, Emily, Verity, Dominic
In this paper we construct an analogue of Lurie's "unstraightening" construction that we refer to as the "comprehension construction". Its input is a cocartesian fibration $p \colon E \to B$ between $\infty$-categories together with a third $\infty$-
Externí odkaz:
http://arxiv.org/abs/1706.10023
Autor:
Riehl, Emily, Verity, Dominic
We use the terms "$\infty$-categories" and "$\infty$-functors" to mean the objects and morphisms in an "$\infty$-cosmos." Quasi-categories, Segal categories, complete Segal spaces, naturally marked simplicial sets, iterated complete Segal spaces, $\t
Externí odkaz:
http://arxiv.org/abs/1608.05314
Autor:
Riehl, Emily, Verity, Dominic
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 189-271
Various models of $(\infty,1)$-categories, including quasi-categories, complete Segal spaces, Segal categories, and naturally marked simplicial sets can be considered as the objects of an $\infty$-cosmos. In a generic $\infty$-cosmos, whose objects w
Externí odkaz:
http://arxiv.org/abs/1507.01460
Autor:
Riehl, Emily, Verity, Dominic
We use the terms $\infty$-categories and $\infty$-functors to mean the objects and morphisms in an $\infty$-cosmos: a simplicially enriched category satisfying a few axioms, reminiscent of an enriched category of fibrant objects. Quasi-categories, Se
Externí odkaz:
http://arxiv.org/abs/1506.05500