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Finite-to-one maps

Published online by Cambridge University Press:  12 March 2014

Thomas Forster
Thomas Forster*
Affiliation:
Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK Center for Philosophy of Science, 15620 Pittsburgh, PA, USA, E-mail: tf@dpmms.cam.ac.uk
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Abstract

It is shown in ZF (without choice) that if there is a finite-to-one map (X) → X, then X is finite.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 4 , December 2003 , pp. 1251 - 1253
Copyright
Copyright © Association for Symbolic Logic 2003

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References

REFERENCES

[S] Specker, E., Verallgemeinerte Kontinuumshypothese und Auswahlaxiom, Archiv der Mathematik, vol. 5 (1954), pp. 332–337.Google Scholar