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...
3 KB (515 words) - 03:27, 15 May 2025
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
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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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 (4,514 words) - 22:32, 28 May 2025
Look up localization, L10n, or localize in Wiktionary, the free dictionary. Localization or localisation may refer to: Localization of function, locating...
4 KB (506 words) - 17:52, 1 May 2025
_{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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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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(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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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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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) - 11:06, 29 May 2025
Motive (algebraic geometry) (category Topological methods of algebraic geometry)
contains almost no information outside the context of Grothendieck's category of pure motives, where a morphism from ( X , p , m ) {\displaystyle (X,p,m)}...
33 KB (4,886 words) - 03:48, 12 April 2025
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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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...
3 KB (340 words) - 17:06, 8 May 2024
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...
35 KB (4,543 words) - 03:14, 13 May 2025
In mathematics, Serre and localizing subcategories form important classes of subcategories of an abelian category. Localizing subcategories are certain...
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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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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
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...
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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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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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Translation management system (redirect from Continuous localization)
leverage against new writing incorporation of business management functions: to preview the localization cost and timeframe integration with enterprise...
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Kilinux (redirect from Open Swahili Localization Project)
(klnX), the Open Swahili Localization Project, is a project by the Swedish International Development Agency (SIDA), the University of Dar es Salaam (UDSM)...
7 KB (572 words) - 23:32, 8 October 2024
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) - 12:41, 25 May 2025
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...
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Culture-bound syndrome (redirect from Cultural concepts of distress)
areas and are localized, folk, diagnostic categories that frame coherent meanings for certain repetitive, patterned, and troubling sets of experiences and...
32 KB (3,292 words) - 17:59, 23 May 2025
for a suitable definition of localization of triangulated categories. Although localization of categories is defined for a class of morphisms Σ...
26 KB (4,702 words) - 03:51, 1 July 2024