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Lipschitz quotient mappings with good ratio of constants
Published online by Cambridge University Press: 26 February 2010
Abstract
It is shown that Lipschitz quotient mappings between finite dimensional spaces behave nicely (e.g., are bijective in the case of equal dimensions) if the Lipschitz and co-Lipschitz constants are close to each other. For Lipschitz quotient mappings of the plane, a bound for the cardinality of the pre-image of a point in terms of the ratio of the constants is obtained.
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- Copyright © University College London 2002
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