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Ordered abelian groups over a CW complex | | Igor Nikolaev
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7 Apr 2001 | | Subject: | K-Theory and Homology; Differential Geometry MSC-class: 19K35; 46L40; 58F10 | math.KT math.DG | | Abstract: | If 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. | | Source: | arXiv, math.KT/0104085 | | Services: | Forum | Review | PDF | Favorites | |
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