Contraction of Areas vs. Topology of Mappings
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Guth_Contraction of.pdf
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Author(s)
Guth, Lawrence
Date Issued
August 2013
Journal
Geometric and Functional Analysis
Publisher
Springer-Verlag
Citation
Guth, Larry. “Contraction of Areas Vs. Topology of Mappings.” Geometric and Functional Analysis 23, no. 6 (December 2013): 1804–1902.
Version
Original manuscript
Abstract
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 + 1) over 2].
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00039-013-0246-3
