منابع مشابه
Recollements of Derived Functor Categories ∗ †
We give an equivalence between the derived category of a locally finitely presented category and the derived category of contravariant functors from its finitely presented subcategory to the category of abelian groups, in the spirit of Krause’s work [H. Krause, Approximations and adjoints in homotopy categories, Math. Ann. 353 (2012), 765–781]. Then we provide a criterion for the existence of r...
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The scheme ChoiceD concerns a non-empty set A, a non-empty set B, and a binary predicate P, and states that: there exists a function h from A into B such that for every element a of A holds P[a, h(a)] provided the parameters meet the following requirement: • for every element a of A there exists an element b of B such that P[a, b]. Let A, B, C be non-empty sets, and let f be a function from A i...
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This article represents a preliminary attempt to link Kan extensions, and some of their further developments, to Fourier theory and quantum algebra through ∗autonomous monoidal categories and related structures. There is a close resemblance to convolution products and the Wiener algebra (of transforms) in functional analysis. The analysis term “kernel” (of a distribution) has also been adapted ...
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Every smooth manifold contains particles which propagate. These form objects and morphisms of a category equipped with a functor to the category of Abelian groups, turning this into a 0 + 1 topological field theory. We investigate the algebraic structure of this category, intimately related to the structure of Stasheff’s polytops, introducing the notion of associahedral categories. An associahe...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1977
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700018930