Results 61 to 70 of about 94,018 (202)
Pivotal tricategories and a categorification of inner-product modules
, 2014 This article investigates duals for bimodule categories over finite tensor categories. We show that finite bimodule categories form a tricategory and discuss the dualities in this tricategory using inner homs.
Schaumann, Gregor
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Homotopical commutative rings and bispans
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen +3 more
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Kan extensions and the calculus of modules for $\infty$-categories
, 2016 Various models of $(\infty,1)$-categories, including quasi-categories, complete Segal spaces, Segal categories, and naturally marked simplicial sets can be considered as the objects of an $\infty$-cosmos.
Riehl, Emily, Verity, Dominic
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Topological functors and right adjoints
General Topology and its Applications, 1978 AbstractLet T:A → L be an (L, M)-topological functor and S:B → Y a faithful functor. Let F:L → Y and L:A → B be functors with a:FT → SL an epi natural transformation. We are concerned with the question of when L has a right adjoint given that F has a right adjoint. We give two characterizations of the existence of a right adjoint to L.
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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
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On the computation of fusion over the affine Temperley–Lieb algebra
Nuclear Physics B, 2018 Fusion product originates in the algebraization of the operator product expansion in conformal field theory. Read and Saleur (2007) introduced an analogue of fusion for modules over associative algebras, for example those appearing in the description of ...
Jonathan Belletête, Yvan Saint-Aubin
doaj
Adjoint functors and bar constructions
Advances in Mathematics, 1974 The notions of universal bundle, classifying space and bar construction are closely linked but not interchangeable. The relations between them are well understood in some contexts, less so in others. Our aim here is not to elucidate these relations but, merely, as a first step in such an elucidation, to clarify the notion of a bar construction.
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The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
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Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof,, we obtain a motivic version of mod k$k$ Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety (NGLrT)∖GLr$(N_{\mathrm{GL}_r} T)\backslash \mathrm{GL}_r$ which turns out
Alexey Ananyevskiy +3 more
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The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
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