A symmetric covering theorem (Q1118053)
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scientific article; zbMATH DE number 4093804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A symmetric covering theorem |
scientific article; zbMATH DE number 4093804 |
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A symmetric covering theorem (English)
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1989
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By a symmetric full cover of the real line is meant a collection S of closed intervals with the property that for every real x there is a \(\delta (x)>0\) so that \([x-h,x+h]\in S\) for every \(0<h<\delta (x).\) The authors prove: Let S be a symmetric full cover of the real line. Then there is a denumerable set N so that S contains a partition of every interval neither of whose end points belongs to N.
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symmetric full cover of the real line
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