Systolic freedom of loop space

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dc.creatorKatz, Mikhail G.
dc.creatorSuciu, Alexander I.
dc.date2001-06-19
dc.date.accessioned2026-07-07T04:42:13Z
dc.date.available2026-07-07T04:42:13Z
dc.descriptionGiven a pair of integers m and n such that 1 < m < n, we show that every n-dimensional manifold admits metrics of arbitrarily small total volume, and possessing the following property: every m-dimensional submanifold of less than unit m-volume is necessarily torsion in homology. This result is different from the case of a pair of complementary dimensions, for which a direct geometric construction works and gives the analogous theorem in complete generality. In the present paper, we use Sullivan's telescope model for the rationalisation of a space to observe systolic freedom.
dc.descriptionThis is an updated version of the published paper
dc.identifierhttps://arxiv.org/abs/math/0106153
dc.identifierhttp://arxiv.org/abs/math/0106153
dc.identifierGeometric and Functional Analysis 11 (2001), 60--73
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61684
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C23 (Primary); 55Q15 (Secondary)
dc.titleSystolic freedom of loop space
dc.typetext

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