Less Saturated Ideals

Authors:
Moti Gitik and Saharon Shelah

Journal:
Proc. Amer. Math. Soc. **125** (1997), 1523-1530

MSC (1991):
Primary 03E35, 03E40, 04A20

MathSciNet review:
1363421

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove the following:

- (1)
- If is weakly inaccessible then is not -saturated.
- (2)
- If is weakly inaccessible and is regular then is not -saturated.
- (3)
- If is singular then is not -saturated.

- (A)
- If then is not -saturated.
- (B)
- If then is not -saturated.

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Additional Information

**Moti Gitik**

Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv 69978, Israel

Email:
gitik@math.tau.ac.il

**Saharon Shelah**

Affiliation:
Hebrew University of Jerusalem, Department of Mathematics, Givat Ram, Jerusalem, Israel

Email:
shelah@math.huji.ac.il

DOI:
http://dx.doi.org/10.1090/S0002-9939-97-03702-7

Received by editor(s):
March 1, 1995

Received by editor(s) in revised form:
November 20, 1995

Additional Notes:
The second author was partially supported by the Basic Research Fund, Israel Academy of Sciences.

This is number 577 in the cumulative list of the second author’s publications.

Communicated by:
Andreas R. Blass

Article copyright:
© Copyright 1997
American Mathematical Society