Fine properties of Baire one functions

• Autorzy: Udayan B. Darji , Michael J. Evans , Chris Freiling , Richard J. O'Malley
• Języki publikacji: EN

Abstrakty

EN

A new theorem in the theory of first return representations of Baire class one functions of a real variable is presented which has as immediate consequences several known characterizations of standard subclasses of the Baire one functions. Further, this theorem yields new insights into how finely Baire one functions can be recovered and yields a characterization of another subclass of Baire one functions.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 2
• Strony: 177-188

Daty

wydano

1998

otrzymano

1997-04-16

Twórcy

autor

Udayan B. Darji

• Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A.

autor

Michael J. Evans

• Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450, U.S.A.

autor

Chris Freiling

• Department of Mathematics, California State University at San Bernardino, San Bernardino, California 92407, U.S.A.

autor

Richard J. O'Malley

• Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, U.S.A.

Bibliografia

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• [3] U. B. Darji, M. J. Evans, and R. J. O'Malley, First return path systems: differentiability, continuity, and orderings, Acta Math. Hungar. 66 (1995), 83-103.
• [4] U. B. Darji, M. J. Evans, and R. J. O'Malley, A first return characterization of Baire one functions, Real Anal. Exchange 19 (1993-94), 510-515.
• [5] U. B. Darji, M. J. Evans, and R. J. O'Malley, Universally first return continuous functions, Proc. Amer. Math. Soc. 123 (1995), 2677-2685.
• [6] M. J. Evans and R. J. O'Malley, Fine tuning the recoverability of Baire one functions, Real Anal. Exchange 21 (1995-96), 165-174.
• [7] S. Kempisty, Sur les fonctions quasicontinues, Fund. Math. 19 (1932), 184-197.
• [8] K. Kuratowski, Topology, Vol. I, Academic Press, 1966.
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