AC is Equivalent to the Coherence Principle. Corrigendum to my Paper "Induction Principles for Sets"

Article type: Research Article

Authors: Czelakowski, Janusz

Affiliations: Institute of Mathematics and Informatics, University of Opole, Oleska 48, 45-052 Opole, Poland. [email protected]

Note: [] Address for correspondence: Institute of Mathematics and Informatics, University of Opole, Oleska 48, 45-052 Opole, Poland, [email protected]

Abstract: Theorem 3.7 of [1] is corrected. Two coherence principles and the ultrafilter property for partial functions contained in a relation are formulated. The equivalence of the coherent principles with AC and the equivalence of the ultrafilter property with BPI is shown.

Keywords: coherence principle, ultrafilter property

DOI: 10.3233/FI-2009-107

Journal: Fundamenta Informaticae, vol. 93, no. 4, pp. 353-356, 2009