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2009/2010 On Romanovski's Lemma
Ricardo Estrada, Jasson Vindas
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Real Anal. Exchange 35(2): 431-444 (2009/2010).

Abstract

Romanovski introduced a procedure, Romanovski's lemma, to construct the Denjoy integral without the use of transfinite induction. Here we give two versions of Romanovski's lemma which hold in general topological spaces. We provide several applications in various areas of mathematics.

Citation

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Ricardo Estrada. Jasson Vindas. "On Romanovski's Lemma." Real Anal. Exchange 35 (2) 431 - 444, 2009/2010.

Information

Published: 2009/2010
First available in Project Euclid: 22 September 2010

zbMATH: 1238.46029
MathSciNet: MR2683609

Subjects:
Primary: 26B05 , 28A33 , 30E25 , 46F10 , 54A05

Keywords: analytic functions , Measures , Romanovski's lemma

Rights: Copyright © 2009 Michigan State University Press

Vol.35 • No. 2 • 2009/2010
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