Title

On Romanovski's lemma

Document Type

Article

Publication Date

1-1-2010

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.

Publication Source (Journal or Book title)

Real Analysis Exchange

First Page

431

Last Page

444

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