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Pointwise compact sets of measurable functions

Fremlin, DH (1975) 'Pointwise compact sets of measurable functions.' Manuscripta Mathematica, 15 (3). pp. 219-242. ISSN 0025-2611

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Abstract

If X is a compact Radon measure space, and A is a pointwise compact set of real-valued measurable functions on X, then A is compact for the topology of convergence in measure (Corollary 2H). Consequently, if Xo,..., Xn are Radon measure spaces, then a separately continuous real-valued function on Xo×X1×...×Xn is jointly measurable (Theorem 3E). If we seek to generalize this work, we encounter some undecidable problems (§4). © 1975 Springer-Verlag.

Item Type: Article
Uncontrolled Keywords: math.LO; math.FA
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 22 Apr 2021 14:57
Last Modified: 06 Jan 2022 13:48
URI: http://repository.essex.ac.uk/id/eprint/21544

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