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Two cardinal models for singular μ
Author(s) -
Garti Shimon,
Shelah Saharon
Publication year - 2007
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610053
Subject(s) - mathematics , limit (mathematics) , combinatorics , cardinal number (linguistics) , discrete mathematics , pure mathematics , mathematical analysis , philosophy , linguistics
We deal here with colorings of the pair ( μ + , μ ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of ( μ + , μ ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same). (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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