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Plus minus analogues for affine Tverberg type results | | Pavle V. M. Blagojevic
; Günter M. Ziegler
; | | Date: |
19 May 2019 | | Abstract: | 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. This answers, in the case of primes minus
one, a B’ar’any-Sober’on question about a plus minus analogue of the
classical B’ar’any-Larman conjecture. | | Source: | arXiv, 1905.7715 | | Services: | Forum | Review | PDF | Favorites | |
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