6533b831fe1ef96bd12983c9

RESEARCH PRODUCT

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

Janusz Czelakowski

subject

Mathematics::LogicAlgebra and Number TheoryComputational Theory and MathematicsPartial functionUltrafilterMathematical analysisMathematics::General TopologyAstrophysics::Cosmology and Extragalactic AstrophysicsEquivalence (formal languages)Information SystemsTheoretical Computer ScienceMathematics

description

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.

https://doi.org/10.3233/fi-2009-107