Articles

On Russell and Anti Russell-Cardinals

Published in: Quaestiones Mathematicae
Volume 33 , issue 1 , 2010 , pages: 1–9

DOI: 10.2989/16073601003718222

Author(s): Horst Herrlich , Germany , Kyriakos Keremedis Department of Mathematics, Greece , Eleftherios Tachtsis Department of Statistics and Actuarial-Financial Mathematics, Greece

Keywords: Axiom of Choice , Russell-cardinals , anti Russell-cardinals , prime cardinals , amorphous cardinals , permutation models

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Abstract

In the absence of the Axiom of Choice we study countable families of 2-element sets with no choice functions which either have infinite subfamilies with a choice function or no infinite subfamilies with a choice function.

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