Absoluteness theorems for arbitrary Polish spaces

Author:

Mejía Diego Alejandro,Rivera-Madrid Ismael E.

Abstract

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.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference11 articles.

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