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Representation theorem

In mathematics, representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure.

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Representation theorem

Nodes80
Edges79
Triples34
Avg. degree1.98
Density0.025
Components1

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Representation theorem

Top relations

related to Algebra · 15
Representation theorem → Ado's, Another, Birkhoff, Birkhoff's HSP, Boolean, Cayley's, In, Lie, Preston, Representation, Stone, Stone's, The Poincaré, Wagner, Witt
related to Functional analysis · 14
Representation theorem → C0, Gelfand, Hausdorff, Hilbert, It, Kakutani, L2, Markov, Naimark, Riesz, Segal, The, The Gelfand, The Riesz
related to Economics · 4
Representation theorem → Debreu's, Examples, Morgenstern, Von Neumann
is a · 1
Representation theorem → theorem that states that every abstract structure with certain properties is isomorphic to another

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Important terminology

theorem states every representation isomorphic algebra space set abstract category spaces embeds embedding categories manifold theory also stone's equivalence given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Representation theoremis atheorem that states that every abstract structure with certain properties is isomorphic to another0.90text
Representation theoremrelated to AlgebraCayley's0.60section
Representation theoremrelated to AlgebraRepresentation0.60section
Representation theoremrelated to AlgebraStone's0.60section
Representation theoremrelated to AlgebraBoolean0.60section
Representation theoremrelated to AlgebraAnother0.60section
Representation theoremrelated to AlgebraStone0.60section
Representation theoremrelated to AlgebraThe Poincaré0.60section
Representation theoremrelated to AlgebraBirkhoff0.60section
Representation theoremrelated to AlgebraWitt0.60section
Representation theoremrelated to AlgebraLie0.60section
Representation theoremrelated to AlgebraAdo's0.60section

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