Mad spectra

Saharon Shelah; Otmar Spinas

doi:10.1017/jsl.2015.9

Mad spectra

Saharon Shelah, Otmar Spinas

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The mad spectrum is the set of all cardinalities of infinite maximal almost disjoint families on ω. We treat the problem to characterize those sets A which, in some forcing extension of the universe, can be the mad spectrum. We give a complete solution to this problem under the assumption ϑ^<ϑ = ϑ, where ϑ = min(A).

Original language	English
Pages (from-to)	901-916
Number of pages	16
Journal	Journal of Symbolic Logic
Volume	80
Issue number	3
DOIs	https://doi.org/10.1017/jsl.2015.9
State	Published - 22 Jul 2015

Bibliographical note

Publisher Copyright:
©2015, Association for Symbolic Logic.

Keywords

Forcing
MAD families
Set theory
Set theory of the reals

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10.1017/jsl.2015.9

Cite this

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Mad spectra

Abstract

Bibliographical note

Keywords

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