Abstract
In this chapter, we develop a basic theory of quasisymmetric embeddings in metric spaces, following for the most part the paper by Tukia and Väisälä [176]. We use the notation f : X → Y for an embedding f of a metric space X in a metric space Y. Thus, note in particular that in this notation f is not supposed to be onto. Recall that an embedding is a map that is a homeomorphism onto its image.
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© 2001 Springer Science+Business Media New York
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Heinonen, J. (2001). Quasisymmetric Maps: Basic Theory I. In: Lectures on Analysis on Metric Spaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0131-8_10
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DOI: https://doi.org/10.1007/978-1-4613-0131-8_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6525-2
Online ISBN: 978-1-4613-0131-8
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