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Metric topology on the moduli space

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arxiv 2002.10054 v1 pith:MINROYJ7 submitted 2020-02-24 math.GN math.MG

classification math.GNmath.MG
keywords modulispacetopologyanswerclassconformaldefinedense
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We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an answer to the Tuschmann's question.

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