Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1811-103
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, T, & SIEG, W (2019). Some unpublished Reclaw theorems and their applications to Baire-star-one functions. Turkish Journal of Mathematics 43 (3): 1148-1160. https://doi.org/10.3906/mat-1811-103
