Results 21 to 30 of about 31,935 (188)
Rigidity in Equivariant Stable Homotopy Theory [PDF]
, 2014 For any finite group G, we show that the 2-local G-equivariant stable homotopy category, indexed on a complete G-universe, has a unique equivariant model in the sense of Quillen model categories.
Patchkoria, Irakli
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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.
openaire +3 more sources
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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On the Algebraic Classification of Module Spectra [PDF]
, 2011 Using methods developed by Franke, we obtain algebraic classification results for modules over certain symmetric ring spectra ($S$-algebras). In particular, for any symmetric ring spectrum $R$ whose graded homotopy ring $\pi_*R$ has graded global ...
Patchkoria, Irakli
core +1 more source
What do DG categories form? [PDF]
, 2006 We introduce a homotopy 2-category structure on the category of 2 ...
Tamarkin, Dmitry
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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
doaj +1 more source
A colimit decomposition for homotopy algebras in Cat [PDF]
, 2012 Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to other contexts Rosicky observed a key point to be that each homotopy colimit ...
B Badzioch +17 more
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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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Relative global dimensions and stable homotopy categories
Comptes Rendus. Mathématique, 2020 In this paper we study the finiteness of global Gorenstein AC-homological dimensions for rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an application, we show that any left (or right) coherent and left Gorenstein ring
Liang, Li, Wang, Junpeng
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