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Free Boolean algebras and nowhere dense ultrafilters
Annals of Pure and Applied Logic 126 (1-3):287-292 (2004)
Abstract
An analogue of Mathias forcing is studied in connection of free Boolean algebras and nowhere dense ultrafilters. Some applications to rigid Boolean algebras are givenMy notes
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Citations of this work
How high can Baumgartner’s $${\mathcal{I}}$$ I -ultrafilters lie in the P-hierarchy?Michał Machura & Andrzej Starosolski - 2015 - Archive for Mathematical Logic 54 (5-6):555-569.
Cascades, order, and ultrafilters.Andrzej Starosolski - 2014 - Annals of Pure and Applied Logic 165 (10):1626-1638.
References found in this work
Selective ultrafilters and homogeneity.Andreas Blass - 1988 - Annals of Pure and Applied Logic 38 (3):215-255.
Regular subalgebras of complete Boolean algebras.Aleksander Błaszczyk & Saharon Shelah - 2001 - Journal of Symbolic Logic 66 (2):792-800.
Independent Families in Complete Boolean Algebras.B. Balcar, F. Franek, Bohuslav Balcar, Jan Pelant, Petr Simon & Boban Velickovic - 2002 - Bulletin of Symbolic Logic 8 (4):554-554.
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