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Compact object (mathematics)

In mathematics, compact objects, also referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying a certain finiteness condition. The terminology is inspired by (and generalized from) the concept of compactness in topology.

Examples, Definition & Relation to dualizable objects

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Definition

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Compactly generated categories

Relation to dualizable objects

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Map overview Semantic statistics

Compact object (mathematics)

Nodes41
Edges40
Triples0
Avg. degree1.95
Density0.04878
Components1

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Important terminology Word statistics

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Important terminology

compact category displaystyle objects object text dualizable finite compactly generated filtered colimits example finitely presented categories precisely also topology space

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SubjectPredicateObjectConfidenceSrc

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