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Topology of the Bend Loci of Convex Piecewise Linear Functions
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math.CO
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appendixarticlebendcompleteconnectedconvexd-n-1functions
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abstract
This short article serves as the appendix for [Tran and Wang, 2022]. We prove that a complete intersection of $n$ generic polyhedral hypersurfaces in $\mathbb{R}^d$ is $(d-n-1)$-connected for $d\geq 2, d>n$.
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