Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 361, Issue 11, Pages 5695-5719Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-09-04705-9
Keywords
Diamond; continuum hypothesis; forcing; S-space; P-ideal; antidiamond
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Funding
- University of Northern Iowa Summer
- NSF [DMS-0506063]
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We investigate some combinatorial statements that are strong enough to imply that lozenge fails (hence the name antidiamonds); yet most of them are also compatible with CH We prove that these axioms have many consequences in set-theoretic topology. including the consistency, mdoulo large cardinals, of a Yes answer to a problem oil linearly Lindelof spaces posed by Arhangel'skii and Buzyakova (1998).
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