Fixed Points of Maps of Sets of Polyhedra into the Disc

• Autorzy: Miklaszewski, D.
• Języki publikacji: EN

Abstrakty

EN

We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.

Słowa kluczowe

EN

fixed points; Brouwer’s theorem; platonic solid

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 3-4
• Strony: 263--275
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Miklaszewski, D.

• Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland,

Bibliografia

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• [12] D. Miklaszewski, The Brouwer fixed point theorem for some set mappings, Bull. Polish Acad. Sci. Math. 61 (2013), 133–140.
• [13] N. Rallis, A fixed point index theory for symmetric product mappings, Manuscripta Math. 44 (1983), 279–308.
• [14] W. I. Stringham, Determination of the finite quaternion groups, Amer. J. Math. 4 (1881), 345–357.
• [15] B. de La Vaissière, P. W. Fowler and M. Deza, Codes in Platonic, Archimedean, Catalan, and related polyhedra: a model for maximum addition patterns in chemical cages, J. Chem. Inf. Comput. Sci. 41 (2001), 376–386.
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Identyfikatory

DOI

10.4064/ba61-3-8