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
Recommended Citation
Estrada, R., & Vindas, J. (2010). On Romanovski's lemma. Real Analysis Exchange, 35 (2), 431-444. https://doi.org/10.14321/realanalexch.35.2.0431
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