Quasi -compact spaces
Salvador García-Ferreira (1996)
Czechoslovak Mathematical Journal
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Salvador García-Ferreira (1996)
Czechoslovak Mathematical Journal
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Fedeli, A. (1998)
Commentationes Mathematicae Universitatis Carolinae
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Juhász, I.
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Alessandro Fedeli (1998)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to show, using the reflection principle, three new cardinal inequalities. These results improve some well-known bounds on the cardinality of Hausdorff spaces.
Alejandro Ramírez-Páramo (2008)
Colloquium Mathematicae
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We establish a general technical result, which provides an algorithm to prove cardinal inequalities and relative versions of cardinal inequalities.
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.
G. P. Monro (1974)
Colloquium 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.