Abstract
It is shown in ZF (without choice) that if there is a finite-to-one map 𝒫(X) ↠X, then X is finite.
Citation
Thomas Forster. "Finite-to-one maps." J. Symbolic Logic 68 (4) 1251 - 1253, December 2003. https://doi.org/10.2178/jsl/1067620184
Information
Published: December 2003
First available in Project Euclid: 31 October 2003
zbMATH: 1057.03035
MathSciNet: MR2017352
Digital Object Identifier: 10.2178/jsl/1067620184
Rights: Copyright © 2003 Association for Symbolic Logic