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Dagger compact category

In category theory, a branch of mathematics, dagger compact categories (or dagger compact closed categories) first appeared in 1989 in the work of Sergio Doplicher and John E. Roberts on the reconstruction of compact topological groups from their category of finite-dimensional continuous unitary representations (that is, Tannakian categories). They also…

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Dagger compact category

Nodes70
Edges69
Triples12
Avg. degree1.97
Density0.028571
Components1

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Dagger compact category

Top relations

related to Basis · 5
Dagger compact category → Comultiplicativity, Given, Hilbert, The, Together
related to Formal definition · 2
Dagger compact category → Specifically, To
is a · 1
Dagger compact category → dagger symmetric monoidal category C

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Important terminology

dagger category compact basis categories displaystyle hilbert monoidal spaces quantum counit closed morphisms objects object completeness mathbf two given also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dagger compact categoryis adagger symmetric monoidal category C0.90text
unitarityinstance ofand standard notions0.80text
inner-productinstance ofand standard notions0.80text
traceinstance ofand standard notions0.80text
Choiinstance ofand standard notions0.80text
Dagger compact categoryrelated to BasisThe0.60section
Dagger compact categoryrelated to BasisHilbert0.60section
Dagger compact categoryrelated to BasisGiven0.60section
Dagger compact categoryrelated to BasisTogether0.60section
Dagger compact categoryrelated to BasisComultiplicativity0.60section
Dagger compact categoryrelated to Formal definitionSpecifically0.60section
Dagger compact categoryrelated to Formal definitionTo0.60section

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