Some unpublished Reclaw theorems and their applications to Baire-star-one functions

Tomasz Natkaniec, Waldemar Sieg · DergiPark (Istanbul University) · 2019

Lunina's 7-tuples $\\langle E^1,\\ldots, E^7\\rangle$ of sets of pointwise convergence, divergence to $\\infty$, divergence to $-\\infty$, etc. for sequences of Baire-star-one functions are cha\\-racterized. Generalization on ideal convergence of such sequences is discussed. Limits and ideal limits of sequences of Baire-star-one functions are considered in the last part of the article.

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