Resumo

MEJIA, DIEGO ALEJANDRO  e  RIVERA-MADRID, ISMAEL E.. Absoluteness theorems for arbitrary Polish spaces. Rev.colomb.mat. [online]. 2019, vol.53, n.2, pp.109-123.  Epub 20-Mar-2020. ISSN 0034-7426.

By coding Polish metric spaces with metrics on countable sets, we propose an interpretation of Polish metric spaces in models of ZFC and extend Mostowski's classical theorem of absoluteness of analytic sets for any Polish metric space in general. In addition, we prove a general version of Shoenfield's absoluteness theorem.

Palavras-chave : Mostowski's Absoluteness Theorem; Shoenfield's Absoluteness Theorem; Polish metric spaces.

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