| Title:
|
Sums of quasicontinuous functions (English) |
| Author:
|
Borsík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
313-319 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions. (English) |
| Keyword:
|
cliquish function |
| Keyword:
|
quasicontinuous functions |
| MSC:
|
54C08 |
| MSC:
|
54C30 |
| MSC:
|
54D99 |
| idZBL:
|
Zbl 0839.54016 |
| idMR:
|
MR1239125 |
| DOI:
|
10.21136/MB.1993.125925 |
| . |
| Date available:
|
2009-09-24T21:00:33Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125925 |
| . |
| Reference:
|
[1] Doboš J., Šalát T.: Cliquish functions, Riemann integrable functions and quasi-uniform convergence.Acta Math. Univ. Comen. 40-41 (1982), 219-223. Zbl 0518.26005, MR 0686978 |
| Reference:
|
[2] Grande Z.: Sur les fonctions cliquish.Časopis pěst. mat. 110 (1985), 225-236. Zbl 0579.54009, MR 0808073 |
| Reference:
|
[3] Ҝelley J. L.: Geneгal Topology.New York, 1955. |
| Reference:
|
[4] Lipinski J.S., Šalát T.: On the points of quasicontinuity and cliquishness of functions.Czechoslovak Math. J. 21 (1971), 484-489. Zbl 0219.26004, MR 0287517 |
| Reference:
|
[5] Stronska E.: L'espace linéaire des fonctions cliquées sur $R^n$ est généré par les fonctions quasi-continues.Math. Slovaca 39 (1989), 155-164. MR 1018257 |
| Reference:
|
[6] Stronska E.: On the group generated by quasicontinuous functions.Real Analysis Exchange 17 (1991-92), 579-589. MR 1171399, 10.2307/44153751 |
| . |
