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In this paper, we present a new characterization of the mappings of bounded length distortion (BLD for short). In the original geometric definition, it is assumed that a BLD mapping is open, discrete, and sense-preserving. We prove that the first two of the three conditions are redundant and the sense-preserving condition can be replaced by a weaker assumption that the Jacobian is nonnegative.

A New Characterization of the Mappings of Bounded Length Distortion