On a cardinal inequality in ZF$\mathsf {ZF}$

Mathematical Logic Quarterly (forthcoming)
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Abstract

It is proved in (without the axiom of choice) that for all infinite cardinals and all natural numbers, where is the cardinality of the set of permutations with exactly non‐fixed points of a set which is of cardinality.

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10.1002/malq.202300014

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Citations of this work

Cantor’s Theorem May Fail for Finitary Partitions.Guozhen Shen - forthcoming - Journal of Symbolic Logic:1-18.
Boundedly finite-to-one functions.Xiao Hu & Guozhen Shen - forthcoming - Logic Journal of the IGPL.

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References found in this work

The well‐ordered and well‐orderable subsets of a set.John Truss - 1973 - Mathematical Logic Quarterly 19 (14‐18):211-214.

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