Some (n − 1)-dimensional rigid sets inR n |
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| Authors: | Irmina Herburt |
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| Affiliation: | (1) Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland |
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| Abstract: | We prove that a rigid set inRn remains rigid if we remove a countable subset of its interior. This gives us a method of obtaining (n – 1)-dimensional rigid sets inRn.Recently V. A. Aleksandrov announced that he had found a 1-dimensional rigid set inR2. Our method is quite different and more general (for arbitrary dimensionn). |
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