Subtlety and partition relations

Toshimichi Usuba

doi:10.1002/malq.201400040

Subtlety and partition relations

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

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 P^kΛ 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 language	English
Pages (from-to)	59-71
Number of pages	13
Journal	Mathematical Logic Quarterly
Volume	62
Issue number	1-2
DOIs	https://doi.org/10.1002/malq.201400040
Publication status	Published - 2016 Feb 1
Externally published	Yes

ASJC Scopus subject areas

Logic

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