Covering Trick and Embolic Volume
classification
🧮 math.DG
math.GT
keywords
coveringembolictrickvolumebergerappearedargumentbetti
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Embolic volume of compact manifolds is defined in terms of Berger's embolic inequality. In this paper, we show a result of relating embolic volume to the first Betti number. The proof relies on Gromov's covering argument appeared in systolic geometry. Berger called this method covering trick. We exploit and present more details to covering trick in the paper.
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Cited by 1 Pith paper
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Topological Complexity and Finite Domination
Every closed connected smooth n-manifold M is dominated by the n-skeleton of a finite simplicial complex whose simplex count is bounded by n and the embolic volume of M.
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