Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 44, No. 1, pp. 155-163 (2003)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 155-163 (2003) |
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On Mappings Preserving a Family of Star BodiesGrzegorz SójkaWydzia{\l} Matematyki i nauk Informacyjnych, Politechnika Warszawska, Plac Politechniki 1, 00-668 Warszawa, Polska; e-mail: grzegorz.sojka@prioris.mini.pw.edu.plAbstract: The paper concerns the star mappings understood as topological embedding of $\mathbb{R}^{n}$ into itself preserving the class of bodies which are star shaped at point $0$. The main result is full characterization of star mappings (Theorem 2.8). At the end we give a solution of some related problem. Keywords: star set, star body, star mapping Classification (MSC2000): 52A30, 54C99, 54C05 Full text of the article:
Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
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