Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Paoli, Simona"'
Autor:
Blanc, David, Paoli, Simona
We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.
Comment: updated introduction
Comment: updated introduction
Externí odkaz:
http://arxiv.org/abs/2405.12674
Autor:
Paoli, Simona
Weakly globular double categories are a model of weak $2$-categories based on the notion of weak globularity, and they are known to be suitably equivalent to Tamsamani $2$-categories. Fair $2$-categories, introduced by J. Kock, model weak $2$-categor
Externí odkaz:
http://arxiv.org/abs/2008.11180
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories model stable 1-types.
Externí odkaz:
http://arxiv.org/abs/2001.05577
Autor:
Blanc, David, Paoli, Simona
We define a comonad cohomology of track categories and we show it is linked by a long exact sequence to its Dwyer-Kan-Smith cohomology . Under mild hypothesis on the track category, we show that its comonad cohomology coincides, up to dimension shift
Externí odkaz:
http://arxiv.org/abs/1801.05065
Publikováno v:
In Topology and its Applications 1 July 2022 316
Autor:
Paoli, Simona
Higher category theory is an exceedingly active area of research, whose rapid growth has been driven by its penetration into a diverse range of scientific fields. Its influence extends through key mathematical disciplines, notably homotopy theory, al
Externí odkaz:
http://arxiv.org/abs/1707.01868
Autor:
Paoli, Simona
We study a new type of higher categorical structure, called weakly globular n-fold category, previously introduced by the author. We show that this structure is a model of weak n-categories by proving that it is suitably equivalent to the Tamsamani-S
Externí odkaz:
http://arxiv.org/abs/1609.04072
Autor:
Paoli, Simona
We introduce a new class of higher categorical structures called weakly globular Tamsamani n-categories. These generalize the Tamsamani-Simpson model of higher categories by using the new paradigm of weak globularity to weaken higher categorical stru
Externí odkaz:
http://arxiv.org/abs/1607.04870
Autor:
Paoli, Simona
We introduce a new higher categorical structure called a weakly globular n-fold category. This structure is based on iterated internal categories and on the notion of weak globularity. We identify a suitable class of pseudo-functors whose strictifica
Externí odkaz:
http://arxiv.org/abs/1605.06835