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ArticleOriginal scientific text

Title

Fine properties of Baire one functions

Authors 1, 2, 3, 4

Affiliations

  1. Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A.
  2. Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450, U.S.A.
  3. Department of Mathematics, California State University at San Bernardino, San Bernardino, California 92407, U.S.A.
  4. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, U.S.A.

Abstract

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.

Bibliography

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Fundamenta Mathematicae
1998/155/2
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Pages:
177-188
Main language of publication
English
Received
1997-04-16
Published
1998
Exact and natural sciences