Results 21 to 30 of about 6,556,269 (259)
Correspondences and stable homotopy theory
Transactions of the London Mathematical Society, 2023 A general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra SH is recovered from modules over a commutative symmetric ring ...
Grigory Garkusha
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, 2018 This book introduces a new context for global homotopy theory, i.e., equivariant homotopy theory with universal symmetries. Many important equivariant theories naturally exist not just for a particular group, but in a uniform way for all groups in a ...
S. Schwede
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Unstable motivic homotopy theory [PDF]
Handbook of Homotopy Theory, 2019 We give an introduction to unstable motivic homotopy theory of Morel and Voevodsky, and survey some results.
K. Wickelgren, B. Williams
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Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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Fundamental classes in motivic homotopy theory [PDF]
Journal of the European Mathematical Society (Print), 2018 We develop the theory of fundamental classes in the setting of motivic homotopy theory. Using this we construct, for any motivic spectrum, an associated bivariant theory in the sense of Fulton-MacPherson.
F. D'eglise, F. Jin, Adeel A. Khan
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Polyhedral products and features of their homotopy theory [PDF]
Handbook of Homotopy Theory, 2019 A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as moment-angle complexes which were developed within the nascent subject of ...
A. Bahri, M. Bendersky, F. Cohen
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A model for the homotopy theory of homotopy theory [PDF]
Transactions of the American Mathematical Society, 2000 We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, “functors between two homotopy theories form a homotopy theory”, or more precisely that the category of such models has a well-behaved internal hom-object.
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Norms in motivic homotopy theory [PDF]
Astérisque, 2017 If $f : S' \to S$ is a finite locally free morphism of schemes, we construct a symmetric monoidal "norm" functor $f_\otimes : \mathcal{H}_{\bullet}(S')\to \mathcal{H}_{\bullet}(S)$, where $\mathcal{H}_\bullet(S)$ is the pointed unstable motivic homotopy ...
Tom Bachmann, Marc Hoyois
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European Physical Journal C: Particles and Fields, 2023 A new concept of moderate non-locality in higher-spin gauge theory is introduced. Based on the recently proposed differential homotopy approach, a moderately non-local scheme, that is softer than those resulting from the shifted homotopy approach ...
O. A. Gelfond
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Algebraic Models of Cubical Weak ∞-Categories with Connections [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this article we adapt some aspects of Penon’s article [23] to cubical geometry. More precisely we define a monad on the category CSets of cubical sets (without degeneracies) whose algebras are models of cubical weak ∞-categories with connections.
Camell Kachour
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