Results 41 to 50 of about 5,909 (88)
Topological endomorphism rings of tilting complexes
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract In a compactly generated triangulated category, we introduce a class of tilting objects satisfying a certain purity condition. We call these the decent tilting objects and show that the tilting heart induced by any such object is equivalent to a category of contramodules over the endomorphism ring of the tilting object endowed with a natural ...
Michal Hrbek
wiley +1 more source
Module categories, internal bimodules, and Tambara modules
Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.Abstract We use the theory of Tambara modules to extend and generalize the reconstruction theorem for module categories over a rigid monoidal category to the nonrigid case. We show a biequivalence between the 2‐category of cyclic module categories over a monoidal category C$\mathcal {C}$ and the bicategory of algebra and bimodule objects in the ...
Mateusz Stroiński
wiley +1 more source
Modules of finite Gorenstein flat dimension and approximations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1187-1207, April 2024.Abstract We study approximations of modules of finite Gorenstein flat dimension by (projectively coresolved) Gorenstein flat modules and modules of finite flat dimension. These approximations determine the Gorenstein flat dimension and lead to descriptions of the corresponding relative homological dimensions, for such modules, in more classical terms ...
Ioannis Emmanouil
wiley +1 more source
On the ∞$\infty$‐topos semantics of homotopy type theory
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 461-517, February 2024.Abstract Many introductions to homotopy type theory and the univalence axiom gloss over the semantics of this new formal system in traditional set‐based foundations. This expository article, written as lecture notes to accompany a three‐part mini course delivered at the Logic and Higher Structures workshop at CIRM‐Luminy, attempt to survey the state of
Emily Riehl
wiley +1 more source
Augmented Homotopical Algebraic Geometry
, 2017 We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Balchin, Scott
core
Andr\'e-Quillen homology via functor homology
, 2001 We obtain Andr\'e-Quillen homology for commutative algebras using relative homological algebra in the category of functors on finite pointed ...
Pirashvili, Teimuraz
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Equivariant Oka theory: survey of recent progress. [PDF]
Complex Analysis Synerg, 2022 Kutzschebauch F +2 more
europepmc +1 more source
Pullback Bundles and the Geometry of Learning. [PDF]
Entropy (Basel), 2023 Puechmorel S.
europepmc +1 more source
Joyal's Suspension Functor on $\Theta $ and Kan's Combinatorial Spectra
, 2018 In [Joyal] where the category $\Theta$ is first defined it is noted that the dimensional shift on $\Theta$ suggests an elegant presentation of the unreduced suspension on cellular sets. In this note we prove that the reduced suspension associated to that
Lessard, Paul
core