A nonparametric proof of the theorem of Lusternik and Schnirelman (Q1122841)
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scientific article; zbMATH DE number 4107778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonparametric proof of the theorem of Lusternik and Schnirelman |
scientific article; zbMATH DE number 4107778 |
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A nonparametric proof of the theorem of Lusternik and Schnirelman (English)
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1989
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We provide a nonparametric proof of the Lyusternik-Schnirelman theorem. This proof avoids the technical complications of the other known proofs which arise from working with parametrized curves which amounts to lifting to a bundle with a nonfree O(2) action. Our arguments use only elementary geometric constructions and the Besicovitch covering lemma.
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Lyusternik-Schnirelman theorem
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Besicovitch covering lemma
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