A+ CATEGORY SCIENTIFIC UNIT

Perfect set properties in models of ZF

Volume 208 / 2010

Carlos Augusto Di Prisco, Franklin C. Galindo Fundamenta Mathematicae 208 (2010), 249-262 MSC: 03E02, 03E25, 03E35. DOI: 10.4064/fm208-3-2

Abstract

We study several perfect set properties of the Baire space which follow from the Ramsey property $\omega \rightarrow (\omega )^\omega $. In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.

Authors

  • Carlos Augusto Di PriscoDepartamento de Matemáticas
    Instituto Venezolano
    de Investigaciones Científicas
    Apartado 20632
    Caracas 1020-A, Venezuela
    e-mail
  • Franklin C. GalindoDepartamento de Lógica y Filosofía de la Ciencia
    Escuela de Filosofía
    Facultad de Humanidades y Educación
    Universidad Central de Venezuela
    Apartado 47209.A
    Caracas 1041-A, Venezuela
    e-mail

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