Finite-to-one maps

Journal of Symbolic Logic 68 (4):1251-1253 (2003)
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Abstract

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

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10.2178/jsl/1067620184

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Thomas Forster
Cambridge University

Citations of this work

Cantor’s Theorem May Fail for Finitary Partitions.Guozhen Shen - forthcoming - Journal of Symbolic Logic:1-18.
A Generalized Cantor Theorem In.Yinhe Peng & Guozhen Shen - 2024 - Journal of Symbolic Logic 89 (1):204-210.
A Note on Strongly Almost Disjoint Families.Guozhen Shen - 2020 - Notre Dame Journal of Formal Logic 61 (2):227-231.
Generalizations of Cantor's theorem in ZF.Guozhen Shen - 2017 - Mathematical Logic Quarterly 63 (5):428-436.
Boundedly finite-to-one functions.Xiao Hu & Guozhen Shen - forthcoming - Logic Journal of the IGPL.

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