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).
Title relation as union of functions
Canonical name RelationAsUnionOfFunctions
Date of creation 2013-03-22 15:24:08
Last modified on 2013-03-22 15:24:08
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 7
Author Mathprof (13753)
Entry type Theorem
Classification msc 03E25
Related topic AxiomOfChoice