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Compact subsets of the first Baire class

Author(s): Stevo Todorcevic
Journal: J. Amer. Math. Soc. 12 (1999), 1179-1212.
MSC (1991): Primary 26A21, 28A05, 28A20, 05D10, 03E05, 03E15, 54H05, 46B25, 46B45
Posted: July 6, 1999
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Abstract: In this paper we present results about the structure of compact subsets of the first Baire class. For example, we give a complete description of characters of points in such compacta as well as a complete list of `critical' members of this class of compacta. Moreover, we describe the close relationship between this class of compacta and the class of compact metric spaces.

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Additional Information:

Stevo Todorcevic
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
Email: stevo@math.toronto.edu

DOI: 10.1090/S0894-0347-99-00312-4
PII: S 0894-0347(99)00312-4
Received by editor(s): January 20, 1997
Received by editor(s) in revised form: April 20, 1999
Posted: July 6, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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