# 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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