On two problems of Erdos and Hechler: New methods in singular Madness

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dc.creatorKojman, Menahem
dc.creatorKubis, Wieslaw
dc.creatorShelah, Saharon
dc.date2004-06-22
dc.date.accessioned2026-07-07T05:09:29Z
dc.date.available2026-07-07T05:09:29Z
dc.descriptionFor an infinite cardinal mu, MAD(mu) denotes the set of all cardinalities of nontrivial maximal almost disjoint families over mu. Erdos and Hechler proved the consistency of [mu in MAD(mu)] for a singular cardinal mu and asked if it was ever possible for a singular mu that [mu notin MAD(mu)], and also whether 2^{cf(mu)}<mu ===> [mu in MAD(mu)] for every singular cardinal mu. We introduce a new method for controlling MAD(mu) for a singular mu and, among other new results about the structure of MAD(mu) for singular mu, settle both problems affirmatively.
dc.identifierhttps://arxiv.org/abs/math/0406441
dc.identifierhttp://arxiv.org/abs/math/0406441
dc.identifierProc. Amer. Math. Soc. 132 No. 11 (2004) 3357--3365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71642
dc.subjectLogic
dc.titleOn two problems of Erdos and Hechler: New methods in singular Madness
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