There is no categorical metric continuum

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We show there is no categorical metric continuum. This means that for every metric continuum X there is another metric continuum Y such that X and Y have (countable) elementarily equivalent bases but X and Y are not homeomorphic. As an application we show that the chainability of the pseudoarc is not a first-order property of its lattice of closed sets.
Revision after comments from referee (2006-01-16)

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General Topology, Logic, 54F12 (Primary); 03C20, 03C35, 54F50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/102231

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509099
 http://arxiv.org/abs/math/0509099

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arXiv