Results 211 to 220 of about 1,689,750 (280)

The mirror Clemens-Schmid sequence. [PDF]

open access: yesEur J Math
Doran CF, Thompson A.
europepmc   +1 more source

BASIC CONCEPTS OF ENRICHED CATEGORY THEORY

Elements of ∞-Category Theory, 2022
Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it.
G. M. Kelly   +13 more
semanticscholar   +1 more source

TTF Triples in Functor Categories

Applied Categorical Structures, 2009
The authors characterize the hereditary torsion pairs of finite type in the functor category of a ring \(R\) that are associated to tilting torsion pairs in the category of \(R\)-modules. A condition under which they give rise to TTF triples is determined.
ANGELERI HUEGEL L, BAZZONI, SILVANA
openaire   +4 more sources

General Heart Construction on a Triangulated Category (II): Associated Homological Functor

Applied Categorical Structures, 2009
In the preceding part (I) of this paper, we showed that for any torsion pair (i.e., t-structure without the shift-closedness) in a triangulated category, there is an associated abelian category, which we call the heart.
N. Abe, H. Nakaoka
semanticscholar   +1 more source

Categories and Functors

2020
Some mathematical constructions are “natural” because they do not involve any arbitrary choice. These constructions can be transferred from one model to another representing the same situation. Category theory has been elaborated so as give this vague but powerful idea a precise meaning which can be used in mathematical proofs.
Adrien Douady, Régine Douady
openaire   +2 more sources

Categories and functors

1979
In this section the notion of a category is defined and some elementary examples are given. For a discussion of some aspects of the definition of a category and also for a variety of other examples, the reader can refer to: Bucur-Deleanu [1], Gabriel [1], Grothendieck—Verdier [1], Kuros-Livsic—Sulgeifer [1], Lawvere [3], Gabriel—Zisman [1], Eilenberg ...
Nicolae Popescu, Liliana Popescu
openaire   +1 more source

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