Darboux transformations
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- by A. M. Bruckner and J. B. Bruckner PDF
- Trans. Amer. Math. Soc. 128 (1967), 103-111 Request permission
References
- A. M. Bruckner and J. G. Ceder, Darboux continuity, Jber. Deutsch. Math.-Verein. 67 (1964/65), no. Abt. 1, 93–117. MR 186761
- 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). MR 0056676
- H. W. Ellis, Darboux properties and applications to non-absolutely convergent integrals, Canad. J. Math. 3 (1951), 471–485. MR 43872, DOI 10.4153/cjm-1951-048-x
- Ky Fan and Raimond A. Struble, Continuity in terms of connectedness, Nederl. Akad. Wetensch. Proc. Ser. A. 57 = Indagationes Math. 16 (1954), 161–164. MR 0061371
- Casper Goffman and Daniel Waterman, Approximately continuous transformations, Proc. Amer. Math. Soc. 12 (1961), 116–121. MR 120327, DOI 10.1090/S0002-9939-1961-0120327-6
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144 C. Kuratowski, Topologie. I, 4th ed., Monogr. Mat. Vol. 20, Warsaw, 1958.
- Solomon Marcus, A Jacobian and a hyperbolic derivative which are not connected functions, Rev. Roumaine Math. Pures Appl. 9 (1964), 767–770. MR 181718 I. Maximoff, Sur les fonctions ayant la propriété de Darboux, Prace Mat. Fiz. 43 (1936), 241-265.
- Ladislav Mišík, Über die Funktionen der ersten Baireschen Klasse mit der Eigenschaft von Darboux, Mat.-Fyz. Časopis. Sloven. Akad. Vied. 14 (1964), 44–49 (German, with Russian summary). MR 181719
- C. J. Neugebauer, Darboux property for functions of several variables, Trans. Amer. Math. Soc. 107 (1963), 30–37. MR 148811, DOI 10.1090/S0002-9947-1963-0148811-6
- Tadashi Tanaka, On the family of connected subsets and the topology of spaces, J. Math. Soc. Japan 7 (1955), 389–393. MR 77913, DOI 10.2969/jmsj/00740389 J. Young, A theorem in the theory of functions of a real variable, Rend. Circ. Mat. Palermo 24 (1907), 187-192.
- Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1–54 (French). MR 37338, DOI 10.1090/S0002-9947-1950-0037338-9
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 128 (1967), 103-111
- MSC: Primary 26.35; Secondary 54.00
- DOI: https://doi.org/10.1090/S0002-9947-1967-0218500-1
- MathSciNet review: 0218500