Some unpublished Recław theorems and their applications to Baire-star-one functions

Abstract

Lunina’s 7-tuples $(E^1,.......,E^7)$ of sets of pointwise convergence, divergence to $infty$, divergence $$-infty$$ , etc. for sequences of Baire-star-one functions are characterized. Generalization on ideal convergence of such sequences isdiscussed. Limits and ideal limits of sequences of Baire-star-one functions are considered in the last part of the arti