On functions with the set of discontinuity points belonging to some s i g m a -ideal

Ryszard Jerzy Pawlak

Mathematica Slovaca (1985)

  • Volume: 35, Issue: 4, page 327-341
  • ISSN: 0139-9918

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Pawlak, Ryszard Jerzy. "On functions with the set of discontinuity points belonging to some $sigma$-ideal." Mathematica Slovaca 35.4 (1985): 327-341. <http://eudml.org/doc/32317>.

@article{Pawlak1985,
author = {Pawlak, Ryszard Jerzy},
journal = {Mathematica Slovaca},
language = {eng},
number = {4},
pages = {327-341},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On functions with the set of discontinuity points belonging to some $sigma$-ideal},
url = {http://eudml.org/doc/32317},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Pawlak, Ryszard Jerzy
TI - On functions with the set of discontinuity points belonging to some $sigma$-ideal
JO - Mathematica Slovaca
PY - 1985
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 35
IS - 4
SP - 327
EP - 341
LA - eng
UR - http://eudml.org/doc/32317
ER -

References

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  1. BLUMBERG H., New properties of all real functions, Trans. Amer. Math. Soc. 24, 1922, 113-128. (1922) MR1501216
  2. BRADFORD J. C., GOFFMAN C., Metric spaces in which Blumberg's theorem holds, Proc. Amer. Math. Soc. 11, 1960, 667-670. (1960) Zbl0178.56603MR0146310
  3. ENGELKING R., Topologia ogólna, PWN, Warszawa, 1975. (1975) MR0500779
  4. HA WORTH R. C., McCOY R. A., Baire spaces, Dissert. Math. CXLI, 1977, 1-77. (1977) MR0431104
  5. KURATOWSKI K., Sur les fonctions representables analytiquement et les ensembles de premiere categorie, Fund. Math. 5, 1924, 75-86. (1924) 
  6. MAULDIN R. D., σ-ideals and related Baire systems, Fund. Math. LXXI, 1971, 171-177. (1971) Zbl0225.46044MR0293027
  7. MAULDIN R. D., Some examples of σ-ideals and related Baire systems, Fund. Math. LXXI, 1971, 179-184. (1971) MR0293028
  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. (1977) 
  9. NEUBRUNNOVA A., On quasicontinuous and cliquish functions, Čas. Pěst. Mat. 99, 1974, 109-114. (1974) Zbl0292.26005MR0360948
  10. NEUGEBAUER C. J., Blumberg sets and quasi-continuity, Math. Zeitschr. 79, 1962, 451-455. (1962) Zbl0105.27004MR0139696
  11. ОКСТОБИ Д., Мера и категория, Москва, 1974. (1974) Zbl1235.49003
  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. (1983) Zbl0597.26003MR0744182
  13. SEMADENI Z., Functions with sets of continuity belonging to a fixed ideal, Fund. Math. 52, 1963, 25-39. (1963) MR0149259

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