Geodesic
On theorems of Pu Pu and Grande
Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 83-87

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MR Zbl
Given a finite family of cliquish functions, $\A$, we can find a Lebesgue function $\alpha$ such that $f+ \alpha$ is Darboux and quasi-continuous for every $f \in\A$. This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.
Given a finite family of cliquish functions, $\A$, we can find a Lebesgue function $\alpha$ such that $f+ \alpha$ is Darboux and quasi-continuous for every $f \in\A$. This theorem is a generalization both of the theorem by H. W. Pu H. H. Pu and of the theorem by Z. Grande.
DOI : 10.21136/MB.1996.125940
Classification : 26A15, 54C08
Keywords: quasi-continuous function; cliquish function; Lebesgue function 
Maliszewski, Aleksander. On theorems of Pu & Pu and Grande. Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 83-87. doi: 10.21136/MB.1996.125940
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[1] Z. Grande: On the Darboux property of the sum of cliquish functions. Real Anal. Exchange 17 (1991-92), no. 2, 571-576. | DOI | MR

[2] A. Maliszewski: Sums and products of quasi-continuous functions. Real Anal. Exchange. To appear. | MR | Zbl

[3] 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. | MR | Zbl

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