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Local saturation and square everywhere

Published:2020-03-25 Issue:03 Volume:20 Page:2050019
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Eskew Monroe¹

Affiliation:

1. Universität Wien, Institut fur Mathematik, Kurt Godel Research Center, Augasse 2-6, UZA 1 — Building 2, 1090 Wien, Austria

Abstract

We show that it is consistent relative to a huge cardinal that for all infinite cardinals [Formula: see text], [Formula: see text] holds and there is a stationary [Formula: see text] such that [Formula: see text] is [Formula: see text]-saturated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061320500191

Reference16 articles.

1. Strongly proper forcing and some problems of Foreman

2. A model in which GCH holds at successors but fails at limits

3. SQUARES, SCALES AND STATIONARY REFLECTION

4. Powers of regular cardinals

5. Lecture Notes in Math.;Foreman M.,1983

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