arXiv:0903.0810·math.LO·March 5, 2009·1 cites
Hausdorff gaps reconstructed from Luzin gaps
Piotr Kalemba, Szymon Plewik
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Abstract
We consider a question: Can a given AD-family be ADR for two orthogonal uncountable towers? If , then we rebuilt any AD-family of the cardinality onto a Hausdorff pre-gap. Moreover, if a such AD-family is a Luzin gap, then we obtain a Hausdorff gap. Under , a similar rebuilding is impossible.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Algebraic Geometry and Number Theory