Baire functions and their restrictions to special sets. (English) Zbl 0229.26006


26A21 Classification of real functions; Baire classification of sets and functions
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[1] P. Alexandroff, Sur la puissance des ensembles Borel, C. R. Acad. Sci. Paris 162 (1916), 323. · JFM 46.0301.01
[2] Michael C. Gemignani, Elementary topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1967. · Zbl 0153.24102
[3] F. Hausdorff, Die Mächtigkeit der Borelschen Mengen, Math. Ann. 77 (1916), no. 3, 430 – 437 (German). · JFM 46.0291.02
[4] -, Mengenlehre, 3rd ed., de Gruyter, Berlin, 1937; English transl., Set theory, Chelsea, New York, 1957. MR 19, 111.
[5] E. W. Hobson, The theory of functions of a real variable and the theory of Fourier’s series. Vol. II, 2nd ed., Harren Press, Washington, D. C., 1950. · JFM 38.0414.01
[6] E. S. Thomas, Almost continuous functions and functions of Baire class 1, Ann. of Math. Studies, no. 60, Princeton Univ. Press, Princeton, N. J., 1966, pp. 125-128. · Zbl 0147.22701
[7] E. S. Thomas Jr., Some characterizations of functions of Baire class 1, Proc. Amer. Math. Soc. 17 (1966), 456 – 461. · Zbl 0147.22702
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