Benjamin Matschke

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Simultaneously generalizing both neighborly and neighborly cubical polytopes, we introduce PSN polytopes: their k-skeleton is combinatorially equivalent to that of a product of r simplices. We construct PSN polytopes by three different methods, the most versatile of which is an extension of Sanyal & Ziegler's " projecting deformed products " construction to(More)
We present projective versions of the center point theorem and Tverberg's theorem, interpolating between the original and the so-called " dual " center point and Tverberg theorems. Furthermore we give a common generalization of these and many other known (trans-versal, constraint, dual, and colorful) Tverberg type results in a single theorem, as well as(More)
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