The Lusin-Menchoff property of fine topologies

Jaroslav Lukeš

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 3, page 515-530
  • ISSN: 0010-2628

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Lukeš, Jaroslav. "The Lusin-Menchoff property of fine topologies." Commentationes Mathematicae Universitatis Carolinae 018.3 (1977): 515-530. <http://eudml.org/doc/16848>.

@article{Lukeš1977,
author = {Lukeš, Jaroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {515-530},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Lusin-Menchoff property of fine topologies},
url = {http://eudml.org/doc/16848},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Lukeš, Jaroslav
TI - The Lusin-Menchoff property of fine topologies
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 3
SP - 515
EP - 530
LA - eng
UR - http://eudml.org/doc/16848
ER -

References

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  2. M. BRELOT, On topologies and boundaries in potential theory, Lecture Notes in Mathematics No. 175, Springer-Verlag, Berlin, 1971. (1971) Zbl0222.31014MR0281940
  3. A. BRUCKNER, On derivatives with a dense set of zeros, Rev. Roumaine Math. Pures Appl.10 (1965), 149-153. (1965) Zbl0138.27902MR0183829
  4. M. CHAIKA, The Lusin-Menchoff theorem in metric space, Indiana Univ. Math. J. 21 (1971), 351-354. (1971) Zbl0228.28007MR0291396
  5. C. CONSTANTINESCU A. CORNEA, Potential theory on harmonic spaces, Berlin - Keidelberg - New York, Springer, 1972. (1972) MR0419799
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  7. B. FUGLEDE, Remarks on fine continuity and the base operation in potential theory, Math. Ann. 210 (1974), 207-212. (1974) Zbl0273.31014MR0357826
  8. C. GOFFMAN C. NEUGEBAUER T. NISHIURA, Density topology and approximate continuity, Duke Math. J. 28 (1961), 497-505. (1961) MR0137805
  9. J. L. KELLEY, General topology, Van Nostrand, Princeton, 1955. (1955) Zbl0066.16604MR0070144
  10. M. LACZKOVICH G. PETRUSKA, A theorem on approximately continuous functions, Acta Math. Acad. Sci. Hung. 24 (1973), 383-387. (1973) MR0325871
  11. M. LACZKOVICH G. PETRUSKA, Baire 1 functions, approximately continuous functions and derivatives, Acta Math. Acad. Sci. Hung. 25 (1974), 189-212. (1974) MR0379766
  12. J. S. LIPIŃSKI, Sur les dérivées de Pompeiu, Rev. Roumaine Math. Pures Appl. 10 (1965), 447-451. (1965) MR0193192
  13. J. LUKEŠ L. ZAJÍČEK, When finely continuous functions are of the first class of Baire, to appear. MR0457646
  14. S. MARCUS, Sur les dérivées dont les zéros forment un ensemble frontière partout dense, Rend. Circ. Mat. Palermo 2 (1963), 1-36. (1963) Zbl0124.03202MR0167572
  15. I. MAXIMOFF, On density points and approximately continuous functions, Tôhoku Math. J. 47 (1940), 237-250. (1940) Zbl0024.30401MR0004283
  16. D. PREISS, Limits of approximately continuous functions, Czechoslovak Math. J. 21 (1971), 371-372. (1971) Zbl0221.26005MR0286947
  17. S. SCHEINBERG, Topologies which generate a complete measure algebra, Advan. in Math. 7 (1971), 231-239. (1971) Zbl0227.28009MR0286965
  18. F. D. TALL, The density topology, Pacific J. Math. 62 (1976), 275-284. (1976) Zbl0305.54039MR0419709
  19. F. D. TALL, Normal subspaces of the density topology, preprint. Zbl0345.54015MR0500830
  20. Z. ZAHORSKI, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1-54. (1950) Zbl0038.20602MR0037338

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