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Plus minus analogues for affine Tverberg type results

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 نشر من قبل G\\\"unter M. Ziegler
 تاريخ النشر 2019
  مجال البحث
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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, Barany and Soberon 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.



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