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Note on pointwise convergence of sequences of analytic sets

Part of:Connections with other structures, applications

Published online by Cambridge University Press:  26 February 2010

Roman Pol
Roman Pol
Affiliation:
Wydziat Matematyki U.W., PKiN IXp., 00-901 Warszawa, Poland.
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Extract

§1. Introduction. In this note we shall discuss a certain dichotomy concerning the pointwise convergence of sequences of analytic sets in completely metrizable separable spaces (Proposition 2.1). The dichotomy is closely related to some reasoning due to W. Szlenk [Sz]; we comment on this in Section 5.1.

MSC classification

Secondary:54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)

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Type
Research Article
Information
Mathematika , Volume 36 , Issue 2 , December 1989, pp. 290 - 300
Copyright
Copyright © University College London 1989

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