Kinna-Wagner selection principles, axioms of choice and multiple choice
type: Item
instance of: scholarly article
title: Kinna-Wagner selection principles, axioms of choice and multiple choice
zbMATH Open document ID: 0873.03044
DOI: 10.1007/BF01326766
author: Arthur L. Rubin
author: Jean E. Rubin
author: Paul Howard
published in: Monatshefte für Mathematik
publication date: 1997-10-26T00:00:00Z
full work available at URL: https://eudml.org/doc/178776
review text: The authors investigate 19 weak versions of the axiom of choice and of each form they determine its position in the hierarchy of choice principles. A typical result is Theorem 7: The second Fraenkel model satisfies even multiple choice but neither well-orderable choice for two-element sets nor odd multiple choice.
Mathematics Subject Classification ID: 03E25
zbMATH DE Number: 1019725
zbMATH Keywords: weak versions of the axiom of choice
zbMATH Keywords: hierarchy of choice principles
zbMATH Keywords: second Fraenkel model
zbMATH Keywords: multiple choice
zbMATH Keywords: well-orderable choice
reviewed by: Norbert Brunner
MaRDI profile type: Publication
Wikidata QID: Q29399594
cites work: Ramsey's theorem in the hierarchy of choice principles
cites work: Injectivity, Projectivity, and the Axiom of Choice
cites work: Multiple choice axioms and axioms of choice for finite sets
cites work: Dedekind-Endlichkeit und Wohlordenbarkeit
cites work: Positive functionals and the axiom of choice
cites work: The Fraenkel-Mostowski method, revisited
cites work: Q5573370
cites work: Some applications of the notions of forcing and generic sets
cites work: Variants of the axiom of choice in set theory with atoms
cites work: Q5641139
cites work: Limitations on the Fraenkel-Mostowski method of independence proofs
cites work: Binary consistent choice on pairs and a generalization of Konig's infinity lemma
cites work: The relationship between two weak forms of the axiom of choice
cites work: The axiom of choice for well-ordered families and for families of well-orderable sets
cites work: The axiom of choice
cites work: Q5553270
cites work: Bases for vector spaces over the two-element field and the axiom of choice
cites work: Disasters in topology without the axiom of choice
cites work: Über eine Abschwächung des Auswahlpostulates
cites work: Axioms of multiple choice
cites work: Support structures for the axiom of choice
cites work: Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
cites work: Cardinal representatives
cites work: Adding dependent choice
cites work: A note on the cardinal factorial
cites work: An independence result concerning the axiom of choice
cites work: The axiom of choice for linearly ordered families
OpenAlex ID: W2074561630
description: scientific article; zbMATH DE number 1019725