Koszulity of splitting algebras associated with cell complexes

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We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.
Latex, 20 pages, one figure

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Rings and Algebras, Algebraic Topology, 16S37; 57M20; 57M60; 55U10

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http://salesiana.dossiersoluciones.com/handle/123456789/173222

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1241
 http://arxiv.org/abs/0810.1241

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arXiv