On compact sets with a certain affine invariant
| العنوان: | On compact sets with a certain affine invariant |
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| المؤلفون: | Andrey Voynov |
| المصدر: | Mathematical Notes. 90:32-36 |
| بيانات النشر: | Pleiades Publishing Ltd, 2011. |
| سنة النشر: | 2011 |
| مصطلحات موضوعية: | Affine shape adaptation, Pure mathematics, Affine combination, Compact space, Closed set, Affine geometry of curves, General Mathematics, Affine hull, Mathematical analysis, Affine transformation, Affine plane, Mathematics |
| الوصف: | We give a complete characterization of finite-dimensional compact sets with the following property: all of their images under affine operators are symmetric (that is, have symmetry planes of certain dimensions). We also study the noncompact case; namely, we reveal a class of unbounded closed sets with this property and conjecture that this class is complete. |
| تدمد: | 1573-8876 0001-4346 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::07f06fbe7f1a99ec9634fa23bd60b6c5 https://doi.org/10.1134/s0001434611070042 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........07f06fbe7f1a99ec9634fa23bd60b6c5 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15738876 00014346 |
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