On various Teichmüller spaces of a surface of infinite topological type

Published 17 Aug 2010 in math.GT | (1008.2851v1)

Abstract: We show that the length spectrum metric on Teichm\"uller spaces of surfaces of infinite topological type is complete. We also give related results and examples that compare the length spectrum Teichm\"uller space with quasiconformal and the Fenchel-Nielsen Teichm\"uller spaces on such surfaces

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