Results 1 to 10 of about 4,921 (52)
A generalization of Ohkawa's theorem [PDF]
, 2013 A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. We extend this result to arbitrary combinatorial model categories.Comment: 13 pages; consequences in motivic homotopy theory have been ...
Casacuberta, Carles +2 more
core +9 more sources
Class-locally presentable and class-accessible categories
Journal of Pure and Applied Algebra, 2012 In this paper the authors consider generalisations of accessibility and local presentability for categories. A category is accessible if it has a completeness property and if every object is a colimit in a suitable way of a set of suitable objects. For class-accessibility one allows a proper class of objects rather than a set.
Chorny, B., Rosický, J.
openaire +1 more source
Simplicial presheaves of coalgebras [PDF]
, 2011 The category of simplicial R-coalgebras over a presheaf of commutative unital rings on a small Grothendieck site is endowed with a left proper, simplicial, cofibrantly generated model category structure where the weak equivalences are the local weak ...
Brown +11 more
core +1 more source
Locally class-presentable and class-accessible categories
, 2011 We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for applications in the abstract homotopy theory.
Chorny, Boris, Rosicky, Jiri
openaire +2 more sources
Definable orthogonality classes in accessible categories are small [PDF]
, 2011 We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle.
Bagaria, Joan +3 more
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Lifting accessible model structures
, 2018 A Quillen model structure is presented by an interacting pair of weak factorization systems. We prove that in the world of locally presentable categories, any weak factorization system with accessible functorial factorizations can be lifted along either ...
Garner, Richard +2 more
core +1 more source
Homotopical Algebraic Context over Differential Operators [PDF]
, 2017 Building on previous works, we show that the category of non-negatively graded chain complexes of $D_X$-modules -- where $X$ is a smooth affine algebraic variety over an algebraically closed field of characteristic zero -- fits into a homotopical ...
Di Brino, Gennaro +2 more
core +2 more sources
Injective and Projective Model Structures on Enriched Diagram Categories
, 2018 In the enriched setting, the notions of injective and projective model structures on a category of enriched diagrams also make sense. In this paper, we prove the existence of these model structures on enriched diagram categories under local ...
Moser, Lyne
core +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 +2 more
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A necessary and sufficient condition for induced model structures
, 2017 A common technique for producing a new model category structure is to lift the fibrations and weak equivalences of an existing model structure along a right adjoint.
Hess, Kathryn +3 more
core +1 more source