Compact subsets of the first Baire class

Todorčević, Stevo ¹

¹ Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3

Journal of the American Mathematical Society, Tome 12 (1999) no. 4, pp. 1179-1212

Résumé

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.

Détail

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

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