Turkish Journal of Mathematics
DOI
10.3906/mat-1811-103
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
First Page
1148
Last Page
1160
Recommended Citation
NATKANIEC, TOMASZ and SIEG, WALDEMAR
(2019)
"Some unpublished Reclaw theorems and their applications to Baire-star-one functions,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 7.
https://doi.org/10.3906/mat-1811-103
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/7
