Compact subsets of the first Baire class

Todorčević, Stevo

doi:10.1090/S0894-0347-99-00312-4

Compact subsets of the first Baire class
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by Stevo Todorčević

J. Amer. Math. Soc. 12 (1999), 1179-1212

DOI: https://doi.org/10.1090/S0894-0347-99-00312-4

Published electronically: 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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