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Yau raised two fundamental questions regarding $\\mathcal{H}_d(M)$ on complete manifolds with nonnegative Ricci curvature. The first question is the finite dimensionality of $\\mathcal{H}_d(M)$, which is confirmed by Colding and Minicozzi. The second question asks whether a sharp upper bound by its Euclidean analog $\\operatorname{dim}\\mathcal{H}_{d}(\\mathbb{R}^n)$ is true. 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