- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- Some unpublished Reclaw theorems and their applications to Baire-star-one functions
Some unpublished Reclaw theorems and their applications to Baire-star-one functions
Authors : Tomasz Natkaniec, Waldemar Sieg
Pages : 1148-1160
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Pointwise convergence, ideal convergence, $F_sigma$-ideal, $cI^star$-universal set, $omega$-diagonalizability, Lunina 7-tuples, Baire-one-star functions