| Title:
|
On functions with the set of discontinuity points belonging to some $sigma$-ideal (English) |
| Author:
|
Pawlak, Ryszard Jerzy |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
327-341 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54C05 |
| MSC:
|
54C50 |
| idZBL:
|
Zbl 0583.54007 |
| idMR:
|
MR820629 |
| . |
| Date available:
|
2009-09-25T09:48:53Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132774 |
| . |
| Reference:
|
[1] BLUMBERG H.: New properties of all real functions.Trans. Amer. Math. Soc. 24, 1922, 113-128. MR 1501216 |
| Reference:
|
[2] BRADFORD J. C., GOFFMAN C.: Metric spaces in which Blumberg's theorem holds.Proc. Amer. Math. Soc. 11, 1960, 667-670. Zbl 0178.56603, MR 0146310 |
| Reference:
|
[3] ENGELKING R.: Topologia ogólna.PWN, Warszawa, 1975. MR 0500779 |
| Reference:
|
[4] HA WORTH R. C., McCOY R. A.: Baire spaces.Dissert. Math. CXLI, 1977, 1-77. MR 0431104 |
| Reference:
|
[5] KURATOWSKI K.: Sur les fonctions representables analytiquement et les ensembles de premiere categorie.Fund. Math. 5, 1924, 75-86. |
| Reference:
|
[6] MAULDIN R. D.: σ-ideals and related Baire systems.Fund. Math. LXXI, 1971, 171-177. Zbl 0225.46044, MR 0293027 |
| Reference:
|
[7] MAULDIN R. D.: Some examples of σ-ideals and related Baire systems.Fund. Math. LXXI, 1971, 179-184. MR 0293028 |
| Reference:
|
[8] MAŃK T., ŚWIATKOWSKI T.: On some class of functions with Darboux's characteristic.Zesz. Nauk. P.L. 301, Mat. z. 11, 1977, 5-10. |
| Reference:
|
[9] NEUBRUNNOVA A.: On quasicontinuous and cliquish functions.Čas. Pěst. Mat. 99, 1974, 109-114. Zbl 0292.26005, MR 0360948 |
| Reference:
|
[10] NEUGEBAUER C. J.: Blumberg sets and quasi-continuity.Math. Zeitschr. 79, 1962, 451-455. Zbl 0105.27004, MR 0139696 |
| Reference:
|
[11] ОКСТОБИ Д.: Мера и категория.Москва, 1974. Zbl 1235.49003 |
| Reference:
|
[12] PAWLAK H., PAWLAK R. J.: On some conditions equivalent to the condition of Swiatkowski for Darboux functions of one and two variables.Zesz. Nauk. P.L. 413, Mat. z. 16, 1983, 33-40. Zbl 0597.26003, MR 0744182 |
| Reference:
|
[13] SEMADENI Z.: Functions with sets of continuity belonging to a fixed ideal.Fund. Math. 52, 1963, 25-39. MR 0149259 |
| . |
