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Direct limit

In mathematics, a direct limit is a way to construct a (typically large) object from many (typically smaller) objects that are put together in a specific way. These objects may be groups, rings, vector spaces or in general objects from any category. The way they are put together is specified by a system of homomorphisms (group homomorphism, ring…

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Map overview Semantic statistics

Direct limit

Nodes60
Edges59
Triples36
Avg. degree1.97
Density0.033333
Components1

How this topic connects Entity context

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Direct limit

Top relations

related to Examples · 21
Direct limit → An, C-valued, Consider, CW, Direct, Finite, Fix, For, Forming, Fx, GL, If, K-theory, Let, Note, Prüfer, Similarly, The, There, We
related to Related constructions and generalizations · 5
Direct limit → Any, Here, One, The, We
related to Properties · 3
Direct limit → An, Direct, This
is a · 2
Direct limit → union, way to construct a
related to Direct limits in an arbitrary category · 2
Direct limit → Let, The
related to Terminology · 2
Direct limit → In, The
see also · 1
Direct limit → Direct

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Important terminology

direct displaystyle limit category system objects limits directed langle rangle set homomorphisms ij rightarrow mathcal group groups general colimit morphisms

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Direct limitis away to construct a0.90text
Direct limitis aunion0.90text
Direct limitrelated to Direct limits in an arbitrary categoryThe0.60section
Direct limitrelated to Direct limits in an arbitrary categoryLet0.60section
Direct limitrelated to ExamplesIf0.60section
Direct limitrelated to ExamplesSimilarly0.60section
Direct limitrelated to ExamplesFinite0.60section
Direct limitrelated to ExamplesWith0.60section
Direct limitrelated to ExamplesAn0.60section
Direct limitrelated to ExamplesNote0.60section
Direct limitrelated to ExamplesThe0.60section
Direct limitrelated to ExamplesCW0.60section

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