| Title:
|
The Lusin-Menchoff property of fine topologies (English) |
| Author:
|
Lukeš, Jaroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
3 |
| Year:
|
1977 |
| Pages:
|
515-530 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A15 |
| MSC:
|
31D05 |
| MSC:
|
54C20 |
| MSC:
|
54D15 |
| MSC:
|
54D99 |
| idZBL:
|
Zbl 0359.54013 |
| idMR:
|
MR0464171 |
| . |
| Date available:
|
2008-06-05T20:55:38Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105796 |
| . |
| Reference:
|
[1] J. BLIEDTNER W. HANSEN: Simplicial cones in potential theory.Invent. Math. 29 (1975), 83-110. MR 0387630 |
| Reference:
|
[2] M. BRELOT: On topologies and boundaries in potential theory.Lecture Notes in Mathematics No. 175, Springer-Verlag, Berlin, 1971. Zbl 0222.31014, MR 0281940 |
| Reference:
|
[3] A. BRUCKNER: On derivatives with a dense set of zeros.Rev. Roumaine Math. Pures Appl.10 (1965), 149-153. Zbl 0138.27902, MR 0183829 |
| Reference:
|
[4] M. CHAIKA: The Lusin-Menchoff theorem in metric space.Indiana Univ. Math. J. 21 (1971), 351-354. Zbl 0228.28007, MR 0291396 |
| Reference:
|
[5] C. CONSTANTINESCU A. CORNEA: Potential theory on harmonic spaces.Berlin - Keidelberg - New York, Springer, 1972. MR 0419799 |
| Reference:
|
[6] B. FUGLEDE: Finely harmonic functions.Lecture Notes in Mathematics No. 289, Springer-Verlag, Berlin, 1972. Zbl 0248.31010, MR 0450590 |
| Reference:
|
[7] 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:
|
[8] C. GOFFMAN C. NEUGEBAUER T. NISHIURA: Density topology and approximate continuity.Duke Math. J. 28 (1961), 497-505. MR 0137805 |
| Reference:
|
[9] J. L. KELLEY: General topology.Van Nostrand, Princeton, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
|
[10] M. LACZKOVICH G. PETRUSKA: A theorem on approximately continuous functions.Acta Math. Acad. Sci. Hung. 24 (1973), 383-387. MR 0325871 |
| Reference:
|
[11] M. LACZKOVICH G. PETRUSKA: Baire $1$ functions, approximately continuous functions and derivatives.Acta Math. Acad. Sci. Hung. 25 (1974), 189-212. MR 0379766 |
| Reference:
|
[12] J. S. LIPIŃSKI: Sur les dérivées de Pompeiu.Rev. Roumaine Math. Pures Appl. 10 (1965), 447-451. MR 0193192 |
| Reference:
|
[13] J. LUKEŠ L. ZAJÍČEK: When finely continuous functions are of the first class of Baire.to appear. MR 0457646 |
| Reference:
|
[14] S. MARCUS: Sur les dérivées dont les zéros forment un ensemble frontière partout dense.Rend. Circ. Mat. Palermo 2 (1963), 1-36. Zbl 0124.03202, MR 0167572 |
| Reference:
|
[15] I. MAXIMOFF: On density points and approximately continuous functions.Tôhoku Math. J. 47 (1940), 237-250. Zbl 0024.30401, MR 0004283 |
| Reference:
|
[16] D. PREISS: Limits of approximately continuous functions.Czechoslovak Math. J. 21 (1971), 371-372. Zbl 0221.26005, MR 0286947 |
| Reference:
|
[17] S. SCHEINBERG: Topologies which generate a complete measure algebra.Advan. in Math. 7 (1971), 231-239. Zbl 0227.28009, MR 0286965 |
| Reference:
|
[18] F. D. TALL: The density topology.Pacific J. Math. 62 (1976), 275-284. Zbl 0305.54039, MR 0419709 |
| Reference:
|
[19] F. D. TALL: Normal subspaces of the density topology.preprint. Zbl 0345.54015, MR 0500830 |
| Reference:
|
[20] Z. ZAHORSKI: Sur la première dérivée.Trans. Amer. Math. Soc. 69 (1950), 1-54. Zbl 0038.20602, MR 0037338 |
| . |
