Plus minus analogues for affine Tverberg type results

Autor:	Blagojevic, Pavle V. M., Ziegler, Günter M.
Rok vydání:	2019
Předmět:	Mathematics - Metric Geometry Mathematics - Combinatorics 52A35
Druh dokumentu:	Working Paper
Popis:	The classical 1966 theorem of Tverberg with its numerous variations was and still is a motivating force behind many important developments in convex and computational geometry as well as the testing ground for methods from equivariant algebraic topology. In 2018, B\'ar\'any and Sober\'on presented a new variation, the "Tverberg plus minus theorem." In this paper, we give a new proof of the Tverberg plus minus theorem, by using a projective transformation. The same tool allows us to derive plus minus analogues of all known affine Tverberg type results. In particular, we prove a plus minus analogue of the optimal colored Tverberg theorem. Comment: 4 + \eps pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.07715 Zobrazit plný text záznamu View this record from Arxiv