Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-19T11:17:09.124Z Has data issue: false hasContentIssue false

Recovering Baire 1 functions

Published online by Cambridge University Press:  26 February 2010

Udayan B. Darji
Affiliation:
Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A.
Michael J. Evans
Affiliation:
Department of Mathematics, Washington and Lee University, Lexington, Virginia 24450, U.S.A.
Get access

Abstract

Let X be a compact metric space and Y a separable metric space. Any Baire class one function from X to Y can be recovered from its values on a certain countable set via a simple algorithm.

MSC classification

Type
Research Article
Copyright
Copyright © University College London 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Darji, U. B., Evans, M. J. and O'Malley, R. J.. First return path systems: differentiability, continuity, and orderings, Acta Math. Hungar., 66 (1995), 83103.Google Scholar
2.Kuratowski, K.. Topology, Vol. I (Academic Press, 1966), 560 pp.Google Scholar
3.Maximoff, I.. Sur la transformation continue de quelques fonctions en derivees exactes, Bull. Soc. Phys. Math. Kazan, (3), 12 (1940), 5781.Google Scholar
4.Preiss, D.. Maximoff's Theorem. Real Anal. Exch., 5 (1979), 92–10.CrossRefGoogle Scholar