Results 41 to 50 of about 7,261 (161)
Deconstructibility and the Hill lemma in Grothendieck categories
, 2011 A full subcategory of a Grothendieck category is called deconstructible if it consists of all transfinite extensions of some set of objects. This concept provides a handy framework for structure theory and construction of approximations for subcategories
Enochs E. E. +3 more
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More on injectivity in locally presentable categories
Theory and Applications of Categories, 2002 Let \(\mathbb{K}\) be a locally \(\lambda\)-presentable category, \({\mathcal M}\) a set of morphisms of \(\mathbb{K}\) with \(\lambda\)-presentable domains and codomains, and \({\mathcal M}\text{-Inj}\) the class of objects \(X\) of \(\mathbb{K}\) which are injective with respect to all morphisms \(h\) of \({\mathcal M}\), i.e., such that \(\Hom_ ...
Rosicky, J., Adamek, J., Borceux, F.
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Parametrized stability and the universal property of global spectra
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
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The six operations in topology
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
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On orthogonal subcategories of locally presentable categories
Discrete Mathematics, 1992 The authors prove that the statement ``every full limit-closed subcategory of a locally presentable category is orthogonal'' is undecidable. It is equivalent to a large-cardinal principle. For dual categories of locally presentable categories the situation is analogous.
Adámek, J., Rosický, J.
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Journal of the Royal Anthropological Institute, Volume 31, Issue S2, Page 50-67, September 2025.This article – part of a six‐year ethnographic research project – aims to deconstruct and ‘decolonize’ essentialized notions of adolescence and youth, primarily through the application of the category of intersectionality. The research focuses on a series of educational initiatives implemented in San Siro, one of Milan's largest public housing ...
Paolo Grassi
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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
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Locally finitely presented categories of sheaves
Journal of Pure and Applied Algebra, 2010 Let \(\mathcal{A}\) be a locally finitely presented Grothendieck category and \(\mathrm{fp}(\mathcal{A})\) the full subcategory of finitely presented objects in \(\mathcal{A}\). In the main result of the paper the author shows that if a full subcategory \(\mathcal{B}\) of \(\mathcal{A}\) is of finite type (i.e., it is equivalent to a localization in ...
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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Étale motives of geometric origin
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2116-2131, July 2025.Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
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