Establishes a topological bound guaranteeing persistent r-Tverberg points under dimension constraints on intersection sets for prime-power r, plus confirmation of cascade conjecture in the 0-dimensional Radon case.
available at https://minds.wisconsin.edu/bitstream/handle/1793/63829/Ozaydin.pdf
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Tverberg cores and Kalai's cascade conjecture
Establishes a topological bound guaranteeing persistent r-Tverberg points under dimension constraints on intersection sets for prime-power r, plus confirmation of cascade conjecture in the 0-dimensional Radon case.