Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Rasekh, Nima"'
We show that the notion of $(\infty,n)$-limit defined using the enriched approach and the one defined using the internal approach coincide. We also give explicit constructions of various double $(\infty,n-1)$-categories implementing various join cons
Externí odkaz:
http://arxiv.org/abs/2408.04742
Category theory unifies mathematical concepts, aiding comparisons across structures by incorporating objects and morphisms, which capture their interactions. It has influenced areas of computer science such as automata theory, functional programming,
Externí odkaz:
http://arxiv.org/abs/2402.05265
We define limits for diagrams valued in an $(\infty,n)$-category. As a model of $(\infty,n)$-categories, we use complete Segal objects in $(\infty,n-1)$-categories. We show that this definition is compatible with the existing notion of homotopy 2-lim
Externí odkaz:
http://arxiv.org/abs/2312.11101
Category theory is a branch of mathematics that provides a formal framework for understanding the relationship between mathematical structures. To this end, a category not only incorporates the data of the desired objects, but also "morphisms", which
Externí odkaz:
http://arxiv.org/abs/2310.09220
We provide an $(\infty,n)$-categorical version of the straightening-unstraightening construction, asserting an equivalence between the $(\infty,n)$-category of double $(\infty,n-1)$-right fibrations over an $(\infty,n)$-category $\mathcal{C}$ and tha
Externí odkaz:
http://arxiv.org/abs/2307.07259
In the case of $(\infty,1)$-categories, the homotopy coherent nerve gives a right Quillen equivalence between the models of simplicially enriched categories and of quasi-categories. This shows that homotopy coherent diagrams of $(\infty,1)$-categorie
Externí odkaz:
http://arxiv.org/abs/2208.02745
Autor:
Mukherjee, Chirantan, Rasekh, Nima
We give an explicit description of the twisted arrow construction for simplicial spaces and demonstrate individually that it preserves the defining properties of a complete Segal space. Moreover, we show that for a Segal space, the natural projection
Externí odkaz:
http://arxiv.org/abs/2203.01788
Publikováno v:
In Journal of Pure and Applied Algebra July 2024 228(7)
Autor:
Hess, Kathryn, Rasekh, Nima
The theory of shadows is an axiomatic, bicategorical framework that generalizes topological Hochschild homology (THH) and satisfies analogous important properties, such as Morita invariance. Using Berman's extension of THH to bicategories, we prove t
Externí odkaz:
http://arxiv.org/abs/2109.02144
Autor:
Frey, Jonas, Rasekh, Nima
We prove that every locally Cartesian closed $\infty$-category with subobject classifier has a strict initial object and disjoint and universal binary coproducts.
Comment: 14 Pages, to appear in Homology, Homotopy and Applications
Comment: 14 Pages, to appear in Homology, Homotopy and Applications
Externí odkaz:
http://arxiv.org/abs/2108.11304