Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Lanari, Edoardo"'
In this article we introduce four variance flavours of cartesian 2-fibrations of $\infty$-bicategories with $\infty$-bicategorical fibres, in the framework of scaled simplicial sets. Given a map $p\colon \mathcal{E} \rightarrow\mathcal{B}$ of $\infty
Externí odkaz:
http://arxiv.org/abs/2107.12356
We prove that a (lax) bilimit of a 2-functor is characterized by the existence of a limiting contraction in the 2-category of (lax) cones over the diagram. We also investigate the notion of bifinal object and prove that a (lax) bilimit is a limiting
Externí odkaz:
http://arxiv.org/abs/2103.16394
We study four types of (co)cartesian fibrations of $\infty$-bicategories over a given base $\mathcal{B}$, and prove that they encode the four variance flavors of $\mathcal{B}$-indexed diagrams of $\infty$-categories. We then use this machinery to set
Externí odkaz:
http://arxiv.org/abs/2012.04537
Autor:
Bindseil, Ulrich, Lanari, Edoardo
Bank's asset fire sales and recourse to central bank credit are modelled with continuous asset liquidity, allowing to derive the liability structure of a bank. Both asset sales liquidity and the central bank collateral framework are modeled as power
Externí odkaz:
http://arxiv.org/abs/2010.11030
Autor:
Lanari, Edoardo, Scoccola, Luis
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 803-832
The homotopy interleaving distance, a distance between persistent spaces, was introduced by Blumberg and Lesnick and shown to be universal, in the sense that it is the largest homotopy-invariant distance for which sublevel-set filtrations of close-by
Externí odkaz:
http://arxiv.org/abs/2010.05378
We give a definition of the Gray tensor product in the setting of scaled simplicial sets which is associative and forms a left Quillen bifunctor with respect to the bicategorical model category of Lurie. We then introduce a notion of oplax functor in
Externí odkaz:
http://arxiv.org/abs/2006.14495
Autor:
Lanari, Edoardo
The goal of this paper is to prove an equivalence between the $(\infty,2)$-category of cartesian factorization systems of $\infty$-categories and that of pointed cartesian fibrations of $\infty$-categories. This generalizes a similar result known for
Externí odkaz:
http://arxiv.org/abs/1911.11533
The goal of this paper is to provide the last equivalence needed in order to identify all known models for $(\infty,2)$-categories. We do this by showing that Verity's model of saturated $2$-trivial complicial sets is equivalent to Lurie's model of $
Externí odkaz:
http://arxiv.org/abs/1911.01905
Autor:
Henry, Simon, Lanari, Edoardo
We show that if the canonical left semi-model structure on the category of Grothendieck $n$-groupoids exists, then it satisfies the homotopy hypothesis, i.e. the associated $(\infty,1)$-category is equivalent to that of homotopy $n$-types, thus gener
Externí odkaz:
http://arxiv.org/abs/1905.05625
Autor:
Campbell, Alexander, Lanari, Edoardo
Publikováno v:
Cahiers de Topol. G\'eom. Diff\'er. Cat\'eg. 61 (2020), no. 2, 154--207
For each $n \geq -1$, a quasi-category is said to be $n$-truncated if its hom-spaces are $(n-1)$-types. In this paper we study the model structure for $n$-truncated quasi-categories, which we prove can be constructed as the Bousfield localisation of
Externí odkaz:
http://arxiv.org/abs/1810.11188