The fractional Helly number conjecture for families in Euclidean space
Let b≥1b\geq 1b≥1, d≥2d\geq 2d≥2 be integers, and let α∈(0,1)\alpha\in(0,1)α∈(0,1). For a family A\mathcal{A}A of sets in Rd\mathbb{R}^dRd, write TC⌈d/2⌉(A)TC_{\lceil d/2\rceil}(\mathcal{A})TC⌈d/2⌉(A) for its topological…
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