On theorems of Pu & Pu and Grande

Aleksander Maliszewski

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 83-87
  • ISSN: 0862-7959

Abstract

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Given a finite family of cliquish functions, , we can find a Lebesgue function α such that f + α is Darboux and quasi-continuous for every f . This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.

How to cite

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Maliszewski, 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 -

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