| Title:
|
On theorems of Pu & Pu and Grande (English) |
| Author:
|
Maliszewski, Aleksander |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
83-87 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quasi-continuous function |
| Keyword:
|
cliquish function |
| Keyword:
|
Lebesgue function |
| MSC:
|
26A15 |
| MSC:
|
54C08 |
| idZBL:
|
Zbl 0863.26005 |
| idMR:
|
MR1388179 |
| DOI:
|
10.21136/MB.1996.125940 |
| . |
| Date available:
|
2009-09-24T21:15:58Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125940 |
| . |
| Reference:
|
[1] Z. Grande: On the Darboux property of the sum of cliquish functions.Real Anal. Exchange 17 (1991-92), no. 2, 571-576. MR 1171398, 10.2307/44153750 |
| Reference:
|
[2] A. Maliszewski: Sums and products of quasi-continuous functions.Real Anal. Exchange. To appear. Zbl 0843.54019, MR 1377543 |
| Reference:
|
[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. Zbl 0646.26004, MR 0905979 |
| . |
