Homotopically non-trivial maps with small k-dilation

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dc.creatorGuth, Larry
dc.date2007-09-09
dc.date.accessioned2026-07-07T08:28:25Z
dc.date.available2026-07-07T08:28:25Z
dc.descriptionWe construct homotopically non-trivial maps from S^m to S^n with arbitrarily small 3-dilation for certain pairs (m,n). The simplest example is m=4, n=3. Other examples include arbitrarily large values of m and n. We show that a homotopy class in pi_7(S^4) can be represented by maps with arbitrarily small 4-dilation if and only if the class is torsion.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0709.1241
dc.identifierhttp://arxiv.org/abs/0709.1241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137612
dc.subjectDifferential Geometry
dc.subject53C23
dc.titleHomotopically non-trivial maps with small k-dilation
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