Results 61 to 70 of about 31,935 (188)
Rigidity and exotic models for $v_1$-local $G$-equivariant stable homotopy theory
We prove that the $v_1$-local $G$-equivariant stable homotopy category for $G$ a finite group has a unique $G$-equivariant model at $p=2$. This means that at the prime $2$ the homotopy theory of $G$-spectra up to fixed point equivalences on $K$-theory is
Patchkoria, Irakli, Roitzheim, Constanze
core +1 more source
Sheafifiable homotopy model categories, II
[For part I, cf. \textit{T. Beke}, Math. Proc. Camb. Philos. Soc. 129, No. 3, 447-475 (2000; Zbl 0964.55018)]. Suppose one has a category \({\mathcal C}\) and a functor \(F\) from \({\mathcal C}\) to \({\mathcal S}\)\textit{ets}. Then there is an induced functor from the category \(s{\mathcal C}\) of simplicial objects in \({\mathcal C}\) to simplicial
openaire +3 more sources
Model categories with simple homotopy categories
In the present article, we describe constructions of model structures on general bicomplete categories. We are motivated by the following question: given a category $\mathcal{C}$ with a subcategory $w\mathcal{C}$ closed under retracts, when is there a model structure on $\mathcal{C}$ with $w\mathcal{C}$ as the subcategory of weak equivalences? We begin
Droz, Jean-Marie, Zakharevich, Inna
openaire +3 more sources
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source
Homotopy theory of Moore flows (II)
This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
doaj
Finitely presentable objects in ${\rm(}Cb\text{-}{\bf Sets}{\rm)}_{_{\rm fs}}$ [PDF]
Pitts generalized nominal sets to finitely supported $Cb$-sets by utilizing the monoid $Cb$ of name substitutions instead of the monoid of finitary permutations over names.
Mahdieh Haddadi +2 more
doaj +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
A note on connectedness in cartesian closed categories
Primaxily working in the category of limit spaces and continuous maps we suggest a new concept of connectivity with application in all categories where function space objects satisfy natural exponential laws.
Reino Vainio
doaj +1 more source
Revisiting (∞,2)${(\infty,2)}$‐naturality of the Yoneda embedding
Abstract We show that the Yoneda embedding ‘is’ (∞,2)$(\infty,2)$‐natural with respect to the functoriality of presheaves via left Kan extension, refining the (∞,1)$(\infty,1)$‐categorical result proven independently by Haugseng–Hebestreit–Linskens–Nuiten and Ramzi, and answering a question of Ben‐Moshe.
Tobias Lenz
wiley +1 more source
Morita homotopy theory of C*-categories
In this article we establish the foundations of the Morita homotopy theory of C*-categories. Concretely, we construct a cofibrantly generated simplicial symmetric monoidal Quillen model structure M_Mor on the category C*cat1 of small unital C*-categories.
Beer +37 more
core +2 more sources

