Elementarity and dimensions

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We give an alternative proof of Fedorchuk's recent result that dim X <= Dg X for compact Hausdorff spaces X. We use the Löwenheim-Skolem theorem to reduce the problem to the metric case.

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General Topology, Logic, 54F45; 03C30, 03C98, 54D30, 54D80

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http://salesiana.dossiersoluciones.com/handle/123456789/67997

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307086
 http://arxiv.org/abs/math/0307086
 Mathematical Notes, 78, 1--2 (2005), 264--269
 doi:10.1007/s11006-005-0124-x

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arXiv