Stable complexity and simplicial volume of manifolds

Abstract

Let the Δ-complexity σ(M) of a closed manifold M be the minimal number of simplices in a triangulation of M . Such a quantity is clearly submultiplicative with respect to finite coverings, and by taking the infimum on all finite coverings of M normalized by the covering degree, we can promote σ to a multiplicative invariant, a characteristic number already… (More)

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