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Cryptomorphism

In mathematics, two objects, especially systems of axioms or semantics for them, are called cryptomorphic if they are equivalent but not obviously equivalent. In particular, two definitions or axiomatizations of the same object are "cryptomorphic" if it is not obvious that they define the same object. Examples of cryptomorphic definitions abound in…

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Use in matroid theory

Gian-Carlo RotaHassler WhitneyUniversal algebra
3 related topics

Etymology

Garrett Birkhoff
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MathematicsMatroidGroup theoryMorphismsIsomorphism
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Etymology

Use in matroid theory

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Cryptomorphism

Nodes16
Edges15
Triples33
Avg. degree1.88
Density0.125
Components1

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Cryptomorphism

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related to References · 32
Cryptomorphism → American Mathematical Society Colloquium, Appendix, Applications, Birkhoff, Birkhäuser Boston, Boston, Brylawski, Cambridge, Cambridge University Press, Chapter Cryptomorphs, Combinatorial, Crapo, Elkins, Encyclopedia, Indiscrete Thoughts, James, Lattice Theory, Mass, Mathematics, Matroids
see also · 1
Cryptomorphism → Combinatorial

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matroid theory cryptomorphic mathematics two systems equivalent definitions rota word many mathematical objects obviously identity use birkhoff matroids among axioms

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SubjectPredicateObjectConfidenceSrc
Cryptomorphismrelated to ReferencesBirkhoff0.60section
Cryptomorphismrelated to ReferencesLattice Theory0.60section
Cryptomorphismrelated to ReferencesAmerican Mathematical Society Colloquium0.60section
Cryptomorphismrelated to ReferencesPublications0.60section
Cryptomorphismrelated to ReferencesVol0.60section
Cryptomorphismrelated to ReferencesXXV0.60section
Cryptomorphismrelated to ReferencesBrylawski0.60section
Cryptomorphismrelated to ReferencesAppendix0.60section
Cryptomorphismrelated to ReferencesWhite0.60section
Cryptomorphismrelated to ReferencesCrapo0.60section
Cryptomorphismrelated to ReferencesRota0.60section
Cryptomorphismrelated to ReferencesOn0.60section

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