Ordered abelian groups over a CW complex

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dc.creatorNikolaev, Igor
dc.date2001-04-06
dc.date.accessioned2026-07-07T04:41:04Z
dc.date.available2026-07-07T04:41:04Z
dc.descriptionIf X is a CW complex, one can assign to each point of X an ordered abelian group of finite rank whose subset of positive elements depends continuously on the points of X. A locally trivial bundle which arises in this way we denote by E(X). In the present work we establish a topological classification of such bundles in terms of the first cohomology group of X with coefficients in the ring Z_2. This result has an amazing application in the theory of characteristic classes of foliations on compact manifolds.
dc.identifierhttps://arxiv.org/abs/math/0104085
dc.identifierhttp://arxiv.org/abs/math/0104085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61258
dc.subjectK-Theory and Homology
dc.subjectDifferential Geometry
dc.subject19K35; 46L40; 58F10
dc.titleOrdered abelian groups over a CW complex
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