Results 31 to 40 of about 3,075 (93)
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
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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 +2 more
wiley +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
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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
wiley +1 more source
Journal of Pure and Applied Algebra, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosebrugh, Robert, Wood, R.J.
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Purity, ascent and periodicity for Gorenstein flat cotorsion modules
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
wiley +1 more source
The Cofibre of the Transfer Map [PDF]
Proceedings of the American Mathematical Society, 1985 The transfer for a finite covering \(p: X\to B\) is a stable map tr: \(\Sigma\) \({}^ 0B_+\to \Sigma^ 0X_+\). Let \({\mathcal C}\) be the cofibre of tr given in the sequence \(\Sigma B_+\to \Sigma X_+\to {\mathcal C}\). The author shows that there is a spectral sequence \(H^ p_ G(X;\tilde M\otimes h^ q)\Rightarrow h^{p+q}({\mathcal C})\) for any ...
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The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
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Quasicategories of Frames of Cofibration Categories [PDF]
Applied Categorical Structures, 2016 The authors show that the quasicategory of frames of a cofibration category, introduced by the second-named author, is equivalent to its simplicial localization. In particular, it follows that given a model category, the quasicategories of frames associated to its underlying cofibration and fibration categories are equivalent. In the very last section,
Kapulkin, Krzysztof, Szumiło, Karol
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A Quillen model structure for Gray-categories
, 2010 A Quillen model structure on the category Gray-Cat of Gray-categories is described, for which the weak equivalences are the triequivalences. It is shown to restrict to the full subcategory Gray-Gpd of Gray-groupoids.
Berger +11 more
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