Results 21 to 30 of about 1,060 (227)

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

Comptes Rendus. Mathématique, 2023
We replace a ring with a small $\mathbb{C}$-linear category $\mathcal{C}$, seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this category and construct a Chern character taking values in the cyclic ...
Balodi, Mamta, Banerjee, Abhishek
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The homotopy category of $$N$$ N -complexes is a homotopy category [PDF]

Journal of Homotopy and Related Structures, 2013
12 ...
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Sheafifiable homotopy model categories [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2000
If a Quillen model category can be specified using a certain logical syntax (intuitively, ``is algebraic/combinatorial enough''), so that it can be defined in any category of sheaves, then the satisfaction of Quillen's axioms over any site is a purely formal consequence of their being satisfied over the category of sets.
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T-Homotopy and Refinement of Observation—Part II: Adding New T-Homotopy Equivalences

International Journal of Mathematics and Mathematical Sciences, 2007
This paper is the second part of a series of papers about a new notion of T-homotopy of flows. It is proved that the old definition of T-homotopy equivalence does not allow the identification of the directed segment with the 3-dimensional cube.
Philippe Gaucher
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Lawvere-Tierney sheafification in Homotopy Type Theory

Journal of Formalized Reasoning, 2016
Sheafification is a popular tool in topos theory which allows to extend the internal logic of a topos with new principles. One of its most famous applications is the possibility to transform a topos into a boolean topos using the dense topology, which ...
Kevin Quirin, Nicolas Tabareau
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Homological dimension based on a class of Gorenstein flat modules

Comptes Rendus. Mathématique, 2023
In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek in [26].
Dalezios, Georgios, Emmanouil, Ioannis
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Homotopy in functor categories [PDF]

Transactions of the American Mathematical Society, 1982
If C is a small category enriched over topological spaces the category 5j c of continuous functors from C into topological spaces admits a family of homotopy theories associated with closed subcategories of C. The categories 'i c, for various C, are connected to one another by a functor calculus analogous to the 0, Hom calculus for modules over rings ...
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A heuristic review on the homotopy perturbation method for non-conservative oscillators

Journal of Low Frequency Noise, Vibration and Active Control, 2022
The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in analytical methods, and all traditional analytical methods had abdicated their crowns.
Chun-Hui He, Yusry O El-Dib
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Comparing homotopy categories [PDF]

Journal of K-Theory, 2007
AbstractGiven a suitable functorT:→between model categories, we define a long exact sequence relating the homotopy groups of anyXεwith those ofTX, and use this to describe an obstruction theory for lifting an objectGεto. Examples include finding spaces with given homology or homotopy groups.
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Homotopy theory of modules over diagrams of rings

Proceedings of the American Mathematical Society, Series B, 2014
Given a diagram of rings, one may consider the category of modules over them. We are interested in the homotopy theory of categories of this type: given a suitable diagram of model categories ℳ(𝓈) (as 𝓈 runs through the diagram ...
J. P. C. Greenlees, B. Shipley
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