Minimal Finite Models

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We characterize the smallest finite spaces with the same homotopy groups of the spheres. Similarly, we describe the minimal finite models of any finite graph. We also develop new combinatorial techniques based on finite spaces to study classical invariants of general topological spaces.
13 pages

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Algebraic Topology, 55P10, 55P15, 18B35, 18G30

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http://salesiana.dossiersoluciones.com/handle/123456789/119163

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611156
 http://arxiv.org/abs/math/0611156

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arXiv