Metric topology on the moduli space




Gromov-Hausdorff topology, ε-topology, Lipschitz-topology, smooth Lipschitz-topology


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 Tuschmann’s question.


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Author Biography

Jialong Deng, Georg-August-Universität

Mathematisches Institut


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How to Cite

J. Deng, “Metric topology on the moduli space”, Appl. Gen. Topol., vol. 22, no. 1, pp. 11–15, Apr. 2021.



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