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Kinna-Wagner selection principles, axioms of choice and multiple choice

✍ Scribed by Paul Howard; Arthur L. Rubin; Jean E. Rubin


Publisher
Springer Vienna
Year
1997
Tongue
English
Weight
576 KB
Volume
123
Category
Article
ISSN
0026-9255

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## Abstract It is easy to prove in ZF^βˆ’^ (= Zermelo‐Fraenkel set theory without the axioms of choice and foundation) that a relation __R__ satisfies the maximal condition if and only if its transitive hull __R__\* does; equivalently: __R__ is well‐founded if and only if __R__\* is. We will show in