In mathematics, localization of a category consists of adding to a category inverse morphisms for some collection of morphisms, constraining them to become...
9 KB (1,346 words) - 22:44, 18 December 2022
higher category theory, a localization of an ∞-category is an ∞-category obtained by inverting some maps. An ∞-category is a presentable ∞-category if it...
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quotient ring modulo a two-sided ideal. The localization of a category introduces new morphisms to turn several of the original category's morphisms into isomorphisms...
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connections with Fourier theory, in particular. Local analysis Localization of a category Localization of a topological space Atiyah & Macdonald 1969, Proposition...
30 KB (5,333 words) - 01:55, 14 May 2025
category, and the construction is based on localization of a category, a generalization of localization of a ring. The original impulse to develop the...
29 KB (4,503 words) - 21:16, 26 April 2024
Look up localization, L10n, or localize in Wiktionary, the free dictionary. Localization or localisation may refer to: Localization of function, locating...
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(mathematics) Local analysis Localization of a category Localization of a module Localization of a ring Bousfield localization Adams, Frank (1978), Infinite...
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_{X}} ; i.e., L is a final object of C. localization of a category See localization of a category and localization of an ∞-category. Mittag-Leffler condition...
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of C is also often written as C ≃ {\displaystyle C^{\simeq }} . The left adjoint to the above inclusion is given by a localization of an ∞-category....
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monoidal category Braided monoidal category Topos Category of small categories Semigroupoid Comma category Localization of a category Enriched category Bicategory...
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internationalization and localization (American) or internationalisation and localisation (British), often abbreviated i18n and l10n respectively, are means of adapting...
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Local analysis (category Localization (mathematics))
number theory. Category:Localization (mathematics) Localization of a category Localization of a module Localization of a ring Localization of a topological...
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Ring (mathematics) (redirect from Ring with a unit)
categorically, a localization of R with respect to a subset S of R is a functor from the category of R-modules to itself that sends elements of S viewed as...
99 KB (13,738 words) - 15:38, 7 May 2025
Video game localization (or computer game localisation), is the process of preparing a video game for a market outside of where it was originally published...
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presentable if it is a localization of a presheaf category on an ∞-category in the sense of Bousfield (the notion strongly depends on a choice of a universe, which...
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Motive (algebraic geometry) (category Topological methods of algebraic geometry)
If we localize this category with respect to the smallest thick subcategory (meaning it is closed under extensions) containing morphisms [ X × A 1 ] →...
33 KB (4,886 words) - 03:48, 12 April 2025
In category theory, a branch of mathematics, the simplicial localization of a category C with respect to a class W of morphisms of C is a simplicial category...
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In category theory, a branch of mathematics, a (left) Bousfield localization of a model category replaces the model structure with another model structure...
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Groupoid (redirect from Category of groupoids)
denotes the localization of a category that inverts every morphism, and C o r e ( C ) {\displaystyle \mathrm {Core} (C)} denotes the subcategory of all isomorphisms...
39 KB (6,232 words) - 06:39, 6 May 2025
many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. The category Ring is a concrete category meaning...
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Internationalization Tag Set (category Internationalization and localization)
data categories") which are important for internationalization and localization. It also defines implementation of these concepts through a set of elements...
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In mathematics, Serre and localizing subcategories form important classes of subcategories of an abelian category. Localizing subcategories are certain...
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to be equivalent to the localization of a category C [ Σ − 1 ] {\displaystyle C[\Sigma ^{-1}]} . The category of components of a PV program P is then defined...
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Functional specialization (brain) (redirect from Localization of brain function)
allow inferences to be made about brain specialization and localization, also known as using a double dissociation. The difficulty with this theory is that...
33 KB (4,452 words) - 11:49, 7 January 2025
Brown's representability theorem (category Category theory)
gives a means of showing the existence of Eilenberg-MacLane spaces. Since the homotopy category of CW-complexes is equivalent to the localization of the...
7 KB (848 words) - 14:10, 26 December 2024
Pandemic severity index (redirect from Category 4 influenza pandemic)
would probably result in immediate announcement of a PSI level 3–4 situation. The analogy of "category" levels were introduced to provide an understandable...
11 KB (1,254 words) - 18:11, 19 May 2024
Topos (category Foundations of mathematics)
sheaves of sets on a topological space (or more generally, on a site). Topoi behave much like the category of sets and possess a notion of localization. The...
32 KB (4,308 words) - 14:15, 10 May 2025
Simultaneous localization and mapping (SLAM) is the computational problem of constructing or updating a map of an unknown environment while simultaneously...
31 KB (3,878 words) - 03:28, 26 March 2025
List of Protein subcellular localization prediction tools List of phylogenetics software List of phylogenetic tree visualization software Category:Metagenomics_software...
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Object co-segmentation (category Applications of computer vision)
spatio-temporal action localization efforts with tubelets (sequences of bounding boxes), Le et al. present a new spatio-temporal action localization detector Segment-tube...
14 KB (926 words) - 18:30, 12 March 2024