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单词 RelationAsUnionOfFunctions
释义

relation as union of functions


Every relationMathworldPlanetmath R is a union of functions with the same domain as R.

This propositionPlanetmathPlanetmath of Doran is equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath (http://planetmath.org/Equivalent3) to the Axiom of ChoiceMathworldPlanetmath (http://planetmath.org/AxiomOfChoice).

References

  • 1 R. S. Doran: “A Theorem which is Equivalent to the Axiom of Choice”.  – Elemente der Mathematik 27 (1972).
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