Contraction of Areas vs. Topology of Mappings

We construct homotopically non-trivial maps from S[superscript m] to S[superscript m−1] with arbitrarily small k-dilation for each k > [(m + 1) over 2]. We prove that homotopically non-trivial maps from S[superscript m] to S[superscript m−1] cannot have arbitrarily small k-dilation for k ≤ [(m +...

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Bibliographic Details
Main Author: Guth, Lawrence (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2015-01-15T19:16:48Z.
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