On "small geodesics" and free loop spaces

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dc.creatorBahri, A.
dc.creatorCohen, F. R.
dc.date2008-06-03
dc.date.accessioned2026-07-07T09:42:36Z
dc.date.available2026-07-07T09:42:36Z
dc.descriptionA topological group is constructed which is homotopy equivalent to the pointed loop space of a path-connected Riemannian manifold $M$ and which is given in terms of "composable small geodesics" on $M$. This model is analogous to J. Milnor's free group construction \cite{Milnor} which provides a model for the pointed loop space of a connected simplicial complex. Related function spaces are constructed from "composable small geodesics" which provide models for the free loop space of $M$ as well as the space of continuous maps from a surface to $M$.
dc.identifierhttps://arxiv.org/abs/0806.0637
dc.identifierhttp://arxiv.org/abs/0806.0637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162240
dc.subjectAlgebraic Topology
dc.subjectPrimary: 55R99, Secondary: 58D99
dc.titleOn "small geodesics" and free loop spaces
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