Sets meeting isometric copies of the lattice Z(2) in exactly one point
The construction of a subset S of ℝ(2) such that each isometric copy of ℤ(2) (the lattice points in the plane) meets S in exactly one point is indicated. This provides a positive answer to a problem of H. Steinhaus [Sierpiński, W. (1958) Fund. Math. 46, 191–194].
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| Pubblicato in: | Proc Natl Acad Sci U S A |
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| Autori principali: | , |
| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
National Academy of Sciences
2002
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| Soggetti: | |
| Accesso online: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC138533/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/12466499/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.222551699 |
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