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Bruckner, A. M.; Bruckner, J. B.

Darboux transformations. (English) Zbl 0185.12002

Trans. Am. Math. Soc. 128, 103-111 (1967).
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Cited in 10 Documents

Keywords:

real functions
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References:

[1] A. M. Bruckner and J. G. Ceder, Darboux continuity, Jber. Deutsch. Math.-Verein. 67 (1964/1965), no. Abt. 1, 93 – 117. · Zbl 0144.30003
[2] Ákos Császár, Sur la propriété de Darboux, Comptes Rendus du Premier Congrès des Mathématiciens Hongrois, 27 Août – 2 Septembre 1950, Akadémiai Kiadó, Budapest, 1952, pp. 551 – 560 (Hungarian, French, with Russian summary). · Zbl 0049.04204
[3] H. W. Ellis, Darboux properties and applications to non-absolutely convergent integrals, Canadian J. Math. 3 (1951), 471 – 485. · Zbl 0044.05501
[4] Ky Fan and Raimond A. Struble, Continuity in terms of connectedness, Nederl. Akad. Wetensch. Proc. Ser. A. 57 = Indagationes Math. 16 (1954), 161 – 164. · Zbl 0055.16201
[5] Casper Goffman and Daniel Waterman, Approximately continuous transformations, Proc. Amer. Math. Soc. 12 (1961), 116 – 121. · Zbl 0096.17103
[6] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604
[7] C. Kuratowski, Topologie. I, 4th ed., Monogr. Mat. Vol. 20, Warsaw, 1958. · Zbl 0078.14603
[8] Solomon Marcus, A Jacobian and a hyperbolic derivative which are not connected functions, Rev. Roumaine Math. Pures Appl. 9 (1964), 767 – 770. · Zbl 0148.03502
[9] I. Maximoff, Sur les fonctions ayant la propriété de Darboux, Prace Mat. Fiz. 43 (1936), 241-265. · Zbl 0013.25007
[10] Ladislav Mišík, Über die Funktionen der ersten Baireschen Klasse mit der Eigenschaft von Darboux, Mat.-Fyz. asopis Sloven. Akad. Vied 14 (1964), 44 – 49 (German, with Russian summary).
[11] C. J. Neugebauer, Darboux property for functions of several variables, Trans. Amer. Math. Soc. 107 (1963), 30 – 37. · Zbl 0112.04003
[12] Tadashi Tanaka, On the family of connected subsets and the topology of spaces, J. Math. Soc. Japan 7 (1955), 389 – 393. · Zbl 0067.15002 · doi:10.2969/jmsj/00740389
[13] J. Young, A theorem in the theory of functions of a real variable, Rend. Circ. Mat. Palermo 24 (1907), 187-192. · JFM 38.0420.01
[14] Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1 – 54 (French). · Zbl 0038.20602
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