The K-group of R-constructible Sheaves

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Let Z be a smooth projective manifold. In these notes I will prove that the K-group of R-constructible sheaves is isomorphic to the free abelian group with one generator for each open semialgebraic subset $U$ (which I will denote by the same letter) modulo the Mayer-Vietoris relations: U + V - U^V - UvV = 0. I will prove it by showing that both groups in question are isomorphic to the group of all integer-valued semialgebraic functions on Z.
4 pages, no figures, LaTeX

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/64844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209034
 http://arxiv.org/abs/math/0209034

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arXiv