Open AccessSome unpublished Recław theorems and their applications to Baire-star-one functions
Author(s) -
Tomasz Natkaniec,
Waldemar Sieg
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1811-103
Subject(s) - mathematics , star (game theory) , pointwise , divergence (linguistics) , ideal (ethics) , generalization , pointwise convergence , baire category theorem , baire space , convergence (economics) , pure mathematics , discrete mathematics , mathematical analysis , philosophy , linguistics , approx , epistemology , computer science , economics , economic growth , operating system
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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