On theorems of Pu & Pu and Grande
Mathematica Bohemica (1996)
- Volume: 121, Issue: 1, page 83-87
- ISSN: 0862-7959
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topMaliszewski, Aleksander. "On theorems of Pu & Pu and Grande." Mathematica Bohemica 121.1 (1996): 83-87. <http://eudml.org/doc/247958>.
@article{Maliszewski1996,
abstract = {Given a finite family of cliquish functions, $$, we can find a Lebesgue function $\alpha $ such that $f+ \alpha $ is Darboux and quasi-continuous for every $f \in $. This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.},
author = {Maliszewski, Aleksander},
journal = {Mathematica Bohemica},
keywords = {quasi-continuous function; cliquish function; Lebesgue function; quasi-continuous function; cliquish function; Lebesgue function},
language = {eng},
number = {1},
pages = {83-87},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On theorems of Pu & Pu and Grande},
url = {http://eudml.org/doc/247958},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Maliszewski, Aleksander
TI - On theorems of Pu & Pu and Grande
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 83
EP - 87
AB - Given a finite family of cliquish functions, $$, we can find a Lebesgue function $\alpha $ such that $f+ \alpha $ is Darboux and quasi-continuous for every $f \in $. This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.
LA - eng
KW - quasi-continuous function; cliquish function; Lebesgue function; quasi-continuous function; cliquish function; Lebesgue function
UR - http://eudml.org/doc/247958
ER -
References
top- Z. Grande, 10.2307/44153750, Real Anal. Exchange 17 (1991-92), no. 2, 571-576. (1991) MR1171398DOI10.2307/44153750
- A. Maliszewski, Sums and products of quasi-continuous functions, Real Anal. Exchange. To appear. Zbl0843.54019MR1377543
- H. W. Pu, H. H. Pu, On representations of Baire functions in a given family as sums of Baire Darboux functions with a common summand, Časopis Pěst. Mat. 112 (1987), no. 3, 320-326. (1987) Zbl0646.26004MR0905979
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