(κ, θ)-weak normality

Shimon Garti; Saharon Shelah

doi:10.2969/jmsj/06420549

(κ, θ)-weak normality

Shimon Garti, Saharon Shelah

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

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

Original language	English
Pages (from-to)	549-559
Number of pages	11
Journal	Journal of the Mathematical Society of Japan
Volume	64
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/06420549
State	Published - 5 Oct 2012

Keywords

Boolean algebras
Depth
Measurable cardinal
Set theory
Ultrafilters
Weak normality

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2969/jmsj/06420549

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title = "(κ, θ)-weak normality",

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

keywords = "Boolean algebras, Depth, Measurable cardinal, Set theory, Ultrafilters, Weak normality",

author = "Shimon Garti and Saharon Shelah",

year = "2012",

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doi = "10.2969/jmsj/06420549",

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AU - Shelah, Saharon

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

KW - Boolean algebras

KW - Depth

KW - Measurable cardinal

KW - Set theory

KW - Ultrafilters

KW - Weak normality

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U2 - 10.2969/jmsj/06420549

DO - 10.2969/jmsj/06420549

M3 - مقالة

SN - 0025-5645

VL - 64

SP - 549

EP - 559

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

IS - 2

ER -

(κ, θ)-weak normality

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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