Absoluteness theorems for arbitrary Polish spaces

Diego Alejandro Mejía; Ismael E. Rivera-Madrid

doi:10.15446/recolma.v53n2.85521

Publicado

2019-07-01

Absoluteness theorems for arbitrary Polish spaces

Teoremas de absolutidad para espacios polacos arbitrarios

DOI:

https://doi.org/10.15446/recolma.v53n2.85521

Palabras clave:

Mostowski's Absoluteness Theorem, Shoenfield's Absoluteness Theorem, Polish metric spaces (en)
Teorema de Absolutidad de Mostowski, Teorema de Absolutidad de Shoenfield, espacios métricos polacos (es)

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Autores/as

Diego Alejandro Mejía Shizuoka University
Ismael E. Rivera-Madrid Institución Universitaria Pascual Bravo

Resumen (en)
Resumen (es)

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.

Mediante la codificación de espacios polacos con métricas de conjuntos contables, proponemos una interpretación de espacios métricos polacos en modelos de ZFC y extendemos el clásico Teorema de Absolutidad (para conjuntos analíticos) de Mostowski para cualquier espacio métrico polaco en general. Adicionalmente, probamos una versión general del Teorema de Absolutidad de Shoenfield.

Referencias

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Cómo citar

APA

Mejía, D. A. y Rivera-Madrid, I. E. (2019). Absoluteness theorems for arbitrary Polish spaces. Revista Colombiana de Matemáticas, 53(2), 109–123. https://doi.org/10.15446/recolma.v53n2.85521

ACM

[1]

Mejía, D.A. y Rivera-Madrid, I.E. 2019. Absoluteness theorems for arbitrary Polish spaces. Revista Colombiana de Matemáticas. 53, 2 (jul. 2019), 109–123. DOI:https://doi.org/10.15446/recolma.v53n2.85521.

ACS

(1)

Mejía, D. A.; Rivera-Madrid, I. E. Absoluteness theorems for arbitrary Polish spaces. rev.colomb.mat 2019, 53, 109-123.

ABNT

MEJÍA, D. A.; RIVERA-MADRID, I. E. Absoluteness theorems for arbitrary Polish spaces. Revista Colombiana de Matemáticas, [S. l.], v. 53, n. 2, p. 109–123, 2019. DOI: 10.15446/recolma.v53n2.85521. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/85521. Acesso em: 22 ene. 2025.

Chicago

Mejía, Diego Alejandro, y Ismael E. Rivera-Madrid. 2019. «Absoluteness theorems for arbitrary Polish spaces». Revista Colombiana De Matemáticas 53 (2):109-23. https://doi.org/10.15446/recolma.v53n2.85521.

Harvard

Mejía, D. A. y Rivera-Madrid, I. E. (2019) «Absoluteness theorems for arbitrary Polish spaces», Revista Colombiana de Matemáticas, 53(2), pp. 109–123. doi: 10.15446/recolma.v53n2.85521.

IEEE

[1]

D. A. Mejía y I. E. Rivera-Madrid, «Absoluteness theorems for arbitrary Polish spaces», rev.colomb.mat, vol. 53, n.º 2, pp. 109–123, jul. 2019.

MLA

Mejía, D. A., y I. E. Rivera-Madrid. «Absoluteness theorems for arbitrary Polish spaces». Revista Colombiana de Matemáticas, vol. 53, n.º 2, julio de 2019, pp. 109-23, doi:10.15446/recolma.v53n2.85521.

Turabian

Mejía, Diego Alejandro, y Ismael E. Rivera-Madrid. «Absoluteness theorems for arbitrary Polish spaces». Revista Colombiana de Matemáticas 53, no. 2 (julio 1, 2019): 109–123. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/85521.

Vancouver

1.

Mejía DA, Rivera-Madrid IE. Absoluteness theorems for arbitrary Polish spaces. rev.colomb.mat [Internet]. 1 de julio de 2019 [citado 22 de enero de 2025];53(2):109-23. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/85521