Grothendieck universes and the super-complete models of Shepherdson
A. H. Kruse (1965-1966)
Compositio Mathematica
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A. H. Kruse (1965-1966)
Compositio Mathematica
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Marian Turzański (1998)
Commentationes Mathematicae Universitatis Carolinae
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A theorem is proved which could be considered as a bridge between the combinatorics which have a beginning in the dyadic spaces theory and the partition calculus.
N. J. S. Hughes (1965-1966)
Compositio Mathematica
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G. P. Monro (1974)
Colloquium Mathematicae
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Richard Haydon (1976)
Studia Mathematica
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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.
Julius Barbanel (1985)
Fundamenta Mathematicae
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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.