Descriptive Aspects of Rosenthal Compacta

Gabriel Debs ()
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Gabriel Debs: Université Pierre-et-Marie Curie, Analyse Fonctionnelle, Institut de Mathématique de Jussieu

A chapter in Recent Progress in General Topology III, 2014, pp 205-227 from Springer

Abstract: Abstract A compact space is said to be Rosenthal if it can be represented as a space of functions of the first Baire class on some Polish space, equipped with the topology of pointwise convergence. As many others this class of compact spaces emerged from Functional Analysis more precisely from the study, initiated by Rosenthal, of Banach spaces in which the classical

Keywords: Compact Space; Polish Space; Dense Sequence; Dense Countable Subset; Baire Class (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-6239-024-9_5

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DOI: 10.2991/978-94-6239-024-9_5

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