Abstracts of papers published in 1978

A. Pelc, On some weak forms of the axiom of choice in set theory, Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences math., astr. et phys. Vol.26, No.7 (1978), pp. 585-589.


The Dedekind sets and their generalisations are considered. It is shown which weak forms of AC are true in the class WOinfinity and some consequences of the sentence ``There does not exist a decreasing sequence of cardinalities'' are proved.