On functions with the set of discontinuity points belonging to some $sigma$-ideal

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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