Semi-Cohen Boolean Algebras

نویسندگان

  • Bohuslav Balcar
  • Thomas Jech
  • Jindrich Zapletal
چکیده

We investigate classes of Boolean algebras related to the notion of forcing that adds Cohen reals. A Cohen algebra is a Boolean algebra that is dense in the completion of a free Boolean algebra. We introduce and study generalizations of Cohen algebras: semi-Cohen algebras, pseudo-Cohen algebras and potentially Cohen algebras. These classes of Boolean algebras are closed under completion.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 87  شماره 

صفحات  -

تاریخ انتشار 1997