| Title:
|
On the family of functions with a closure of its graph of measure zero (English) |
| Author:
|
Strońska, Ewa |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
459-470 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A15 |
| MSC:
|
26A21 |
| MSC:
|
26A30 |
| idZBL:
|
Zbl 0799.26008 |
| idMR:
|
MR1248979 |
| . |
| Date available:
|
2009-09-25T10:50:45Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129344 |
| . |
| Reference:
|
[1] BRUCKNER A. M.: Differentiation of Functions.Springer Verlag, Berlin-Heidelberg-New York, 1978. MR 0507448 |
| Reference:
|
[2] BRUCKNER A. M., CEDER J. G., KESTON R.: Representations and approximations by Darboux functions in the first class of Baire.Riv. Mat. Pura Appl. 13 (1968), 1247-1254. Zbl 0174.09401, MR 0243008 |
| Reference:
|
[3] GRANDE Z.: Sur les transfinies.Acta Math. Acad. Sci. Hungar. 30 (1977), 85-90. MR 0460559 |
| Reference:
|
[4] GRANDE Z., NATKANIEC T.: On quasiconinuous bijections.Acta Math. Univ. Comenian., (Submitted). |
| Reference:
|
[5] GRANDE Z., SOLTYSIK L.: On sequences of real functions with the Darboux property.Math. Slovaca 40 (1990), 261-265. Zbl 0754.26001, MR 1094778 |
| Reference:
|
[6] GRANDE Z.: On the Darboux property of the sum of cliquish functions.Real. Anal. Exchange, (Submitted). Zbl 0762.26001, MR 1171398 |
| Reference:
|
[7] KOSTYRKO P.: On convergence of transfinite sequences.Mat. Časopis 21 (1971), 233-239. Zbl 0224.40001, MR 0301686 |
| Reference:
|
[8] KUCZMA M.: An Introduction to the Theory of Functional Equations and Inequalities.PWN, Warszawa-Krakow-Katowice, 1985. Zbl 0555.39004, MR 0788497 |
| Reference:
|
[9] LIPIŃSKI J. S.: On transfinite sequences of mappings.Časopis Pěst. Mat. 101 (1976), 153-158. Zbl 0331.54004, MR 0464146 |
| Reference:
|
[10] LOJASIEWICZ S.: Introduction to the Theory of Real Functions.(Polish), PWN, Warszawa, 1973. MR 0432826 |
| Reference:
|
[11] MAULDIN R. P.: σ-ideals and related Baire systems.Fund. Math. 71 (1971), 171-177. Zbl 0225.46044, MR 0293027 |
| Reference:
|
[12] OXTOBY J. C.: Measure and Category.Springer Verlag, New York-Heidelberg-Berlin, 1971. Zbl 0217.09201, MR 0584443 |
| Reference:
|
[13] ŠALÁT T.: On transfinite sequence of B measurable functions.Fund. Math. 78 (1973), 157-162. MR 0326648 |
| Reference:
|
[14] SIERPINSKI W.: Sur les suites transfinies convergentes functions de Baire.Fund. Math. 1 (1920), 132-141.. MR 0055401 |
| Reference:
|
[15] SIERPINSKI W.: Sur une propriete des ensembles Fσ lineares.Fund. Math. 14 (1929), 216-220. |
| Reference:
|
[16] SMÍTAL J.: On the problem concerning uniform limits of Darboux functions.Colloq. Math., 23 (1971), 115-116. MR 0301148 |
| . |
