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On Lindel¨of uniform frames and the axiom of countable choice

✍ Scribed by Banaschewski, B.; Walters-Wayland, J.L.

Book ID
118174906
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
134 KB
Volume
30
Category
Article
ISSN
1607-3606

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## Abstract It is easy to prove in ZF^−^ (= 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