Volume form as volume of infinitesimal simplices

Simple item page
dc.creatorKock, Anders
dc.date2000-06-02
dc.date.accessioned2026-07-07T04:35:39Z
dc.date.available2026-07-07T04:35:39Z
dc.descriptionIn the context of Synthetic Differential Geometry, we describe the square volume of a ``second-infinitesimal simplex'', in terms of square-distance between its vertices. The square-volume function thus described is symmetric in the vertices. The square-volume gives rise to a characterization of the volume form in the top dimension.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0006008
dc.identifierhttp://arxiv.org/abs/math/0006008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59328
dc.subjectCategory Theory
dc.subjectDifferential Geometry
dc.subject18F99; 58A03
dc.titleVolume form as volume of infinitesimal simplices
dc.typetext

Files

Collections

arXiv