Subtlety and partition relations

Toshimichi Usuba

Research output: Contribution to journal › Article

Abstract

We study the subtlety of a cardinal κ and of kΛ. We show that, under a certain large cardinal assumption, it is consistent that kΛ is subtle for some Λ > κ but κ is not subtle, and the consistency of such a situation is much stronger than the existence of a subtle cardinal. We show that the subtlety of PkΛ can be characterized by a certain partition relation on kΛ. We also study the property of faintness of κ, and the subtlety of kΛ with the strong inclusion.

Original languageEnglish
Pages (from-to)59-71
Number of pages13
JournalMathematical Logic Quarterly
Volume62
Issue number1-2
DOIs
Publication statusPublished - 2016 Feb 1
Externally publishedYes

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Partition Relation
Large Cardinals
Inclusion

ASJC Scopus subject areas

  • Logic

Cite this

Subtlety and partition relations. / Usuba, Toshimichi.

In: Mathematical Logic Quarterly, Vol. 62, No. 1-2, 01.02.2016, p. 59-71.

Research output: Contribution to journal › Article

Usuba, T 2016, 'Subtlety and partition relations', Mathematical Logic Quarterly, vol. 62, no. 1-2, pp. 59-71. https://doi.org/10.1002/malq.201400040
Usuba T. Subtlety and partition relations. Mathematical Logic Quarterly. 2016 Feb 1;62(1-2):59-71. https://doi.org/10.1002/malq.201400040
Usuba, Toshimichi. / Subtlety and partition relations. In: Mathematical Logic Quarterly. 2016 ; Vol. 62, No. 1-2. pp. 59-71.
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