Semi-Cohen Boolean algebras
Bohuslav Balcar, Thomas Jech, Jindřich Zapletal
Abstract
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.
Create a lesson
Related papers
The Logic of Emergence
David H. Wolpert, David C. Krakauer
The group of strong automorphisms of the differential field of transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Escaping and generics over ideals
Laurent Bienvenu, Noam Greenberg, Ludovic Patey et al.
Definably isometric cuboids over Hensel minimal fields
Marcelo Fortmann
A weak λ-set that is not a λ-set under p = c
Alexander V. Osipov, Anton E. Lipin
The Cone Fixing the Reals of $HODM2n(x)
Farmer Schlutzenberg, Connor Watson