NOWHERE PRECIPITOUSNESS OF THE NON-STATIONARY IDEAL OVER ${\mathcal P}_\kappa \lambda$-Reference-Cited by-同舟云学术

NOWHERE PRECIPITOUSNESS OF THE NON-STATIONARY IDEAL OVER ${\mathcal P}_\kappa \lambda$

Published:2002-05 Issue:01 Volume:02 Page:81-89
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

MATSUBARA YO¹,SHELAH SAHARON²³

Affiliation:

1. Department of Mathematics, School of Information and Sciences, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan

2. Department of Mathematics, Hebrew University, Jerusalem, Israel

3. Department of Mathematics, Rutgers University, New Brunswick, New Jersey, USA

Abstract

We prove that if λ is a strong limit singular cardinal and κ a regular uncountable cardinal < λ, then NSκλ, the non-stationary ideal over [Formula: see text], is nowhere precipitous. We also show that under the same hypothesis every stationary subset of [Formula: see text] can be partitioned into λκ disjoint stationary sets.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021906130200014X

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