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Rhythm Perception in Speakers of Arabic, German and Hebrew. [PDF]
J Psycholinguist ResSegal O +3 more
europepmc +1 more source
On the Recollements of Functor Categories [PDF]
Applied Categorical Structures, 2015 This paper is devoted to the study of recollements of functor categories in different levels. In the first part of the paper, we start with a small category $\mathcal {S}$ and a maximal object s of
Javad Asadollahi +2 more
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BASIC CONCEPTS OF ENRICHED CATEGORY THEORY
Elements of ∞-Category Theory, 2022Although 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
The category of extensions and a characterisation of n-exangulated functors
Mathematische Zeitschrift, 2022Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important structural information.
Raphael Bennett-Tennenhaus +3 more
semanticscholar +1 more source
General Heart Construction on a Triangulated Category (II): Associated Homological Functor
Applied Categorical Structures, 2009In 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
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
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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
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Category-functor Modelling of Natural Systems
Cybernetics and systems, 1999An approach to the derivation of dynamic equations for natural systems modelled by mathematical structures is suggested. The approach rests on an extremum principle which postulates that among all possible states of a system those are actually realized ...
A. Levich, A. V. Solov'Yov
semanticscholar +1 more source
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
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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
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Capacity functor in the category of compacta
, 2008Spaces of upper-semicontinuous capacities on compacta are studied. It is proved that the capacity functor defines a monad in the category of compacta containing the monad of inclusion hyperspaces as a submonad.
M. Zarichnyǐ, O. Nykyforchyn
semanticscholar +1 more source