Hausdorff gaps reconstructed from Luzin gaps

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We consider a question: Can a given AD-family be ADR for two orthogonal uncountable towers? If $b > ω_1$, then we rebuilt any AD-family of the cardinality $ω_1$ onto a Hausdorff pre-gap. Moreover, if a such AD-family is a Luzin gap, then we obtain a Hausdorff gap. Under $b = ω_1$, a similar rebuilding is impossible.
7 pages

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Logic, Combinatorics, 03E35

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http://salesiana.dossiersoluciones.com/handle/123456789/222283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0810
 http://arxiv.org/abs/0903.0810

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arXiv