Hostname: page-component-74656f9884-npj9w Total loading time: 0 Render date: 2026-11-10T09:23:08.041Z Has data issue: false hasContentIssue false
  • English
  • Français

Recovering Baire 1 functions

Part of: Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  26 February 2010

Udayan B. Darji  and
Michael J. Evans
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

Secondary: 54C50: Special sets defined by functions

Information

Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 43 - 48
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.)

Article purchase

Temporarily unavailable

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), 83–103.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), 57–81.Google Scholar
4.Preiss, D.. Maximoff's Theorem. Real Anal. Exch., 5 (1979), 92–10.CrossRefGoogle Scholar