A simplicial model for the Hopf map

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dc.creatorSauvageot, Orin R.
dc.date2003-10-29
dc.date.accessioned2026-07-07T05:02:19Z
dc.date.available2026-07-07T05:02:19Z
dc.descriptionWe give an explicit simplicial model for the Hopf map S^3 -> S^2. For this purpose, we construct a model of S^3 as a principal twisted cartesian product K x_{eta} S^2, where K is a simplicial model for S^1 acting by left multiplication on itself, S^2 is given the simplest simplicial model and the twisting map is eta:(S^2)_n -> (K)_{n-1}. We construct a Kan complex for the simplicial model K of S^1. The simplicial model for the Hopf map is then the projection K x_{eta} S^2 -> S^2.
dc.identifierhttps://arxiv.org/abs/math/0310456
dc.identifierhttp://arxiv.org/abs/math/0310456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69012
dc.subjectAlgebraic Topology
dc.subject55U10, 55Q40; 55R10
dc.titleA simplicial model for the Hopf map
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