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Results 1 - 10
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357
GENERALIZED BROWN REPRESENTABILITY IN HOMOTOPY CATEGORIES
, 2005
"... Brown representability approximates the homotopy ..."
GENERALIZED BROWN REPRESENTABILITY IN HOMOTOPY CATEGORIES
, 2008
"... Brown representability approximates the homotopy ..."
Brown representability and localization of homotopy categories
, 2009
"... We review Brown representability in triangulated categories, and loca-ization of homotopy categories from the viewpoint of the structure of full triangulated subcategories. ..."
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We review Brown representability in triangulated categories, and loca-ization of homotopy categories from the viewpoint of the structure of full triangulated subcategories.
Brown representability in A¹-homotopy theory
"... We prove the following result of V. Voevodsky. If S is a finite dimensional noetherian scheme such that S = ∪αSpec(Rα) for countable rings Rα, then the stable motivic homotopy category over S satisfies Brown representability. ..."
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We prove the following result of V. Voevodsky. If S is a finite dimensional noetherian scheme such that S = ∪αSpec(Rα) for countable rings Rα, then the stable motivic homotopy category over S satisfies Brown representability.
A REFORMULATION OF BROWN REPRESENTABILITY THEOREM
, 2008
"... Abstract. A well-known result says: If a triangulated category with small co-products satisfies Brown Representability Theorem, then every triangulated co-product preserving functor having as domain the respective category has a right adjoint. We wonder about the converse. In this paper we provide a ..."
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Cited by 1 (0 self)
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Abstract. A well-known result says: If a triangulated category with small co-products satisfies Brown Representability Theorem, then every triangulated co-product preserving functor having as domain the respective category has a right adjoint. We wonder about the converse. In this paper we provide
BROWN REPRESENTABILITY FOLLOWS FROM ROSICKY
"... We prove that the dual of a well generated triangulated category satisfies Brown representability, as long as there is a combinatorial model. This settles the major open problem in [13]. We also prove that Brown representability holds for nondualized well generated categories, but that only amounts ..."
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We prove that the dual of a well generated triangulated category satisfies Brown representability, as long as there is a combinatorial model. This settles the major open problem in [13]. We also prove that Brown representability holds for nondualized well generated categories, but that only
Brown Representability And Flat Covers
, 1999
"... this paper is devoted to proving the main result. To this end we need to recall our assumptions on the triangulated category T : ..."
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Cited by 4 (0 self)
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this paper is devoted to proving the main result. To this end we need to recall our assumptions on the triangulated category T :
BROWN REPRESENTABILITY FOR SPACE-VALUED FUNCTORS
, 2007
"... In this paper we prove two theorems which resemble the classical cohomological and homological Brown representability theorems. The main difference is that our results classify contravariant functors from spaces to spaces up to weak equivalence of functors. In more detail, we show that every contr ..."
Abstract
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Cited by 8 (3 self)
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In this paper we prove two theorems which resemble the classical cohomological and homological Brown representability theorems. The main difference is that our results classify contravariant functors from spaces to spaces up to weak equivalence of functors. In more detail, we show that every
Failure Of Brown Representability In Derived Categories
"... Let T be a triangulated category with coproducts, T c T the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [1]: All homological functors fT c g op ! Ab are the restrictions of representable functors on T, and all natural tr ..."
Abstract
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Cited by 23 (0 self)
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Let T be a triangulated category with coproducts, T c T the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [1]: All homological functors fT c g op ! Ab are the restrictions of representable functors on T, and all natural
Results 1 - 10
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357
