Journal of the Mathematical Society of Japan

(κ,θ)-weak normality

Shimon GARTI and Saharon SHELAH

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Abstract

We deal with the property of weak normality (for non-principal ultrafilters). We characterize the situation of | ∏ i<κ λ i /D|=λ . We have an application for a question of Depth in Boolean algebras.

Article information

Source
J. Math. Soc. Japan, Volume 64, Number 2 (2012), 549-559.

Dates
First available in Project Euclid: 26 April 2012

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1335444403

Digital Object Identifier
doi:10.2969/jmsj/06420549

Mathematical Reviews number (MathSciNet)
MR2916079

Zentralblatt MATH identifier
1269.03046

Subjects
Primary: 03E04: Ordered sets and their cofinalities; pcf theory
Secondary: 03G05: Boolean algebras [See also 06Exx]

Keywords
set theory ultrafilters weak normality Boolean algebras Depth measurable cardinal

Citation

GARTI, Shimon; SHELAH, Saharon. (κ,θ)-weak normality. J. Math. Soc. Japan 64 (2012), no. 2, 549--559. doi:10.2969/jmsj/06420549. https://projecteuclid.org/euclid.jmsj/1335444403


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