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Springer, Dordrecht · 1986

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math.MG 1

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2024 1

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Asymptotic-Type Dimension Bounds through Combinatorial Approaches

math.MG · 2024-11-25 · unverdicted · novelty 6.0

Proves that volume-doubling metric measure spaces satisfy asdim_AN(X) ≤ dim_AN(X) ≤ floor(log2 C_D) and that nonnegative Ricci curvature manifolds have asdim ≤ n, extending polynomial-growth bounds via a probabilistic framework.

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  • Asymptotic-Type Dimension Bounds through Combinatorial Approaches math.MG · 2024-11-25 · unverdicted · none · ref 3

    Proves that volume-doubling metric measure spaces satisfy asdim_AN(X) ≤ dim_AN(X) ≤ floor(log2 C_D) and that nonnegative Ricci curvature manifolds have asdim ≤ n, extending polynomial-growth bounds via a probabilistic framework.