Absoluteness theorems for arbitrary Polish spaces

Autor:	Ismael E. Rivera-Madrid, Diego A. Mejía
Rok vydání:	2019
Předmět:	Mathematics::Logic Pure mathematics General Mathematics Absoluteness 010102 general mathematics 0103 physical sciences Mathematics::General Topology 010307 mathematical physics 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Revista Colombiana de Matemáticas. 53:109-123
ISSN:	2357-4100 0034-7426
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6ff3b033ffa637ca279a9b646ca598b https://doi.org/10.15446/recolma.v53n2.85521 Zobrazit plný text záznamu Plný text ve formátu PDF