Results 31 to 40 of about 7,261 (161)

Model category structures on truncated multicomplexes for complex geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.
Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici, Muriel Livernet, Sarah Whitehouse   +2 more
wiley   +1 more source

The orthogonal subcategory problem in homotopy theory [PDF]

, 2005
It is known that, in a locally presentable category, localization exists with respect to every set of morphisms, while the statement that localization with respect to every (possibly proper) class of morphisms exists in locally presentable categories is ...
Casacuberta i Vergés, Carles, Chorny, Boris, Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica   +2 more
core  

Tensor products of finitely cocomplete and abelian categories

, 2012
The purpose of this article is to study the existence of Deligne's tensor product of abelian categories by comparing it with the well-known ten- sor product of finitely cocomplete categories.
Franco, Ignacio Lopez
core   +1 more source

Hom ω$\omega$‐categories of a computad are free

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We provide a new description of the hom functor on weak ω$\omega$‐categories, and show that it admits a left adjoint that we call the suspension functor. We then show that the hom functor preserves the property of being free on a computad, in contrast to the hom functor for strict ω$\omega$‐categories.
Thibaut Benjamin, Ioannis Markakis
wiley   +1 more source

The accessibility rank of weak equivalences [PDF]

, 2015
We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences.
Raptis, G., Rosický, J.
core  

Behavior of Quillen (co)homology with respect to adjunctions

, 2014
This paper aims to answer the following question: Given an adjunction between two categories, how is Quillen (co)homology in one category related to that in the other? We identify the induced comparison diagram, giving necessary and sufficient conditions
Frankland, Martin
core   +1 more source

Locally finitely presented categories with no flat objects [PDF]

Forum Mathematicum, 2012
Abstract If X is a quasi-compact and quasi-separated scheme, the category Qcoh(X) of quasi-coherent sheaves on X is locally finitely presented. Therefore categorical flat quasi-coherent sheaves in the sense of Stenström (1968) naturally arise. But there is also the standard definition of flatness in Qcoh(X) from the stalks.
Estrada, Sergio, Saorin, Manuel
openaire   +2 more sources

The flat cover conjecture for monoid acts

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley   +1 more source

Hopf measuring comonoids and enrichment

, 2016
We study the existence of universal measuring comonoids $P(A,B)$ for a pair of monoids $A$, $B$ in a braided monoidal closed category, and the associated enrichment of a category of monoids over the monoidal category of comonoids. In symmetric categories,
Franco, Ignacio Lopez, Hyland, Martin, Vasilakopoulou, Christina   +2 more
core   +1 more source

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source