FACTORIALS OF INFINITE CARDINALS IN ZF PART I: ZF RESULTS

Shen, GZ; Yuan, JC

Shen, GZ (corresponding author), Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China.; Shen, GZ (corresponding author), Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China.

JOURNAL OF SYMBOLIC LOGIC, 2020; 85 (1): 224

Abstract

For a set x, let S(x) be the set of all permutations of x. We prove in ZF (without the axiom of choice) several results concerning this notion, among ......

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