Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Stern, Walker H."'
Autor:
Bergner, Julia E., Stern, Walker H.
In this survey article, we review some conceptual approaches to the cyclic category $\Lambda$, as well as its description as a crossed simplicial group. We then give a new proof of the model structure on cyclic sets, work through the details of the g
Externí odkaz:
http://arxiv.org/abs/2409.11945
Autor:
Haderi, Redi, Stern, Walker H.
Given an operad $\mathcal{O}$, we define a notion of weak $\mathcal{O}$-monoids -- which we term $\mathcal{O}$-pseudomonoids -- in a 2-category. In the special case with the 2-category in question is the 2-category $\mathsf{Cat}$ of categories, this
Externí odkaz:
http://arxiv.org/abs/2404.01031
Autor:
Okay, Cihan, Stern, Walker H.
We introduce a theory of twisted simplicial distributions on simplicial principal bundles, which allow us to capture Bell's non-locality, and the more general notion of quantum contextuality. We leverage the classical theory of simplicial principal b
Externí odkaz:
http://arxiv.org/abs/2403.19808
In this article, we characterize convexity in terms of algebras over a PROP, and establish a tensor-product-like symmetric monoidal structure on the category of convex sets. Using these two structures, and the theory of $\scr{O}$-monoidal categories,
Externí odkaz:
http://arxiv.org/abs/2403.18102
In previous work by the first two authors, Frobenius and commutative algebra objects in the category of spans of sets were characterized in terms of simplicial sets satisfying certain properties. In this paper, we find a similar characterization for
Externí odkaz:
http://arxiv.org/abs/2311.15342
Autor:
Abellán, Fernando, Stern, Walker H.
In this work, we study the notion of cofinal functor of $\infty$-bicategories with respect to the theory of partially lax colimits. The main result of this paper is a characterization of cofinal functors of $\infty$-bicategories via generalizations o
Externí odkaz:
http://arxiv.org/abs/2304.07028
Publikováno v:
In Journal of Geometry and Physics January 2025 207
Autor:
Abellán, Fernando, Stern, Walker H.
In this work, we conclude our study of fibred $\infty$-bicategories by providing a Grothendieck construction in this setting. Given a scaled simplicial set $S$ (which need not be fibrant) we construct a 2-categorical version of Lurie's straightening-
Externí odkaz:
http://arxiv.org/abs/2201.09589
In this paper, we provide a notion of $\infty$-bicategories fibred in $\infty$-bicategories which we call 2-Cartesian fibrations. Our definition is formulated using the language of marked biscaled simplicial sets: Those are scaled simplicial sets equ
Externí odkaz:
http://arxiv.org/abs/2106.03606
Given an $\infty$-bicategory $\mathbb{D}$ with underlying $\infty$-category $\mathcal{D}$, we construct a Cartesian fibration $\operatorname{Tw}(\mathbb{D})\to \mathcal{D} \times \mathcal{D}^{\operatorname{op}}$, which we call the enhanced twisted ar
Externí odkaz:
http://arxiv.org/abs/2009.11969