ε-agreement is solvable in every CUB space, and simplex agreement on a simplicial complex C is solvable for n+1 processes iff C is (n-1)-connected.
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Solving Approximate Agreement on continuous and discrete spaces
ε-agreement is solvable in every CUB space, and simplex agreement on a simplicial complex C is solvable for n+1 processes iff C is (n-1)-connected.