Saharon Shelah (2006)
Fundamenta Mathematicae
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We are interested in generalizing part of the theory of ultrafilters on ω to larger cardinals. Here we set the scene for further investigations introducing properties of ultrafilters in strong sense dual to being normal.
Mirna Džamonja (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Aleksandar Jovanović (1978)
Publications de l'Institut Mathématique
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G. P. Monro (1974)
Colloquium Mathematicae
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Jussi Ketonen (1980)
Fundamenta Mathematicae
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Arthur W. Apter (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate two global GCH patterns which are consistent with the existence of a tall cardinal, and also present some related open questions.
Arthur W. Apter (2012)
Fundamenta Mathematicae
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We apply techniques due to Sargsyan to reduce the consistency strength of the assumptions used to establish an indestructibility theorem for supercompactness. We then show how these and additional techniques due to Sargsyan may be employed to establish an equiconsistency for a related indestructibility theorem for strongness.
W. Comfort, S. Negrepontis (1972)
Fundamenta Mathematicae
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Aleksandar Jovanović (1980)
Publications de l'Institut Mathématique
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Aleksandar Jovanović (1977)
Zbornik Radova
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Greg Piper (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Arthur W. Apter, Grigor Sargsyan (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show how to reduce the assumptions in consistency strength used to prove several theorems on universal indestructibility.