| Title:
|
When finely continuous functions are of the first class of Baire (English) |
| Author:
|
Lukeš, Jaroslav |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
647-657 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A15 |
| MSC:
|
26A21 |
| MSC:
|
26A24 |
| MSC:
|
31D05 |
| MSC:
|
35D05 |
| MSC:
|
54C50 |
| MSC:
|
54D15 |
| idZBL:
|
Zbl 0375.26004 |
| idMR:
|
MR0457646 |
| . |
| Date available:
|
2008-06-05T20:56:13Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105809 |
| . |
| Reference:
|
[1] H. BLUMBERG: A theorem on arbitrary functions of two variables with applications.Fund. Math. 16 (1930), 17-24. |
| Reference:
|
[2] C. CONSTANTINESCU A. CORNEA: Potential theory on harmonic spaces.Springer-Verlag, Berlin, 1972. MR 0419799 |
| Reference:
|
[3] A. DENJOY: Sur les fonctions dérivées sommables.Bull. Soc. Math. France 43 (1916), 161-248. MR 1504743 |
| Reference:
|
[4] B. FUGLEDE: The quasi topology associated with a countably subadditive set function.Ann. Inst. Fourier 21 (1971), 123-169. Zbl 0197.19401, MR 0283158 |
| Reference:
|
[5] B. FUGLEDE: Connexion en topologie fine et balayage des mesures.Ann. Inst. Fourier 21 (1971), 227-244. Zbl 0208.13802, MR 0344502 |
| Reference:
|
[6] B. FUGLEDE: Remarks on fine continuity and the base operation in potential theory.Math. Ann. 210 (1974), 207-212. Zbl 0273.31014, MR 0357826 |
| Reference:
|
[7] C. GOFFMAN C. J. NEUGEBAUER: On approximate derivatives.Proc. Amer. Math. Soc. 11 (1960),962-966. MR 0118792 |
| Reference:
|
[8] C. GOFFMAN C. NEUGEBAUER T. NISHIURA: Density topology and approximate continuity.Duke Math. J. 28 (1961), 497-505. MR 0137805 |
| Reference:
|
[9] C. GOFFMAN D. WATERMAN: Approximately continuous transformations.Proc. Amer. Math. Soc. 12 (1961), 116-121. MR 0120327 |
| Reference:
|
[10] O. HAUPT, Ch. PAUC: La topologie de Denjoy envisagée comme vraie topologie.C.R. Acad. Sci Paris 234 (1952), 390-392. MR 0046408 |
| Reference:
|
[11] V. JARNÍK: Sur les fonctions de la première classe de Baire.Bull. Internat. Acad. Sci. Boheme (1926). |
| Reference:
|
[12] N. F. G. MARTIN: A topology for certain measure spaces.Trans. Amer. Math. Soc. 112 (1964), 1-18. Zbl 0125.30402, MR 0161953 |
| Reference:
|
[13] L. MIŠÍK: Notes on an approximate derivative.Mat. časopis Sloven. Akad. Vied 22 (1972), 108-114. MR 0315057 |
| Reference:
|
[14] I. NETUKA L. ZAJÍČEK: Functions continuous in the fiine topology for the heat equation.Časopis Pěst. Mat. 99 (1974), 300-306. MR 0352505 |
| Reference:
|
[15] D. PREISS: Approximate derivative and Baire classes.Czechoslovak Math. J. 21 (1971), 373-382. MR 0286951 |
| Reference:
|
[16] J. RIDDER: Über approximativ stetigen Funktionen.Fund. Math. 13 (1929), 201-209. |
| Reference:
|
[17] S. SAKS: Theory of the integral.New York, 1937. Zbl 0017.30004 |
| Reference:
|
[18] L. E. SNYDER: The Baire classification of ordinary and approximate partial derivatives.Proc. Amer. Math. Soc. 17 (1966), 115-123. Zbl 0142.30501, MR 0186768 |
| Reference:
|
[19] L. E. SNYDER: Approximate Stolz angle limits.Proc. Amer. Math. Soc. 17 (1966), 416-422. Zbl 0158.05102, MR 0188383 |
| Reference:
|
[20] G. TOLSTOV: Sur la dérivée approximative exacte.Mat. Sb. 4 (1938), 499-504. Zbl 0021.01602 |
| Reference:
|
[21] R. S. TROYER W. P. ZIEMER: Topologies generated by outer measures.J. Math. Mech. 12 (1963), 485-494. MR 0147600 |
| . |
