Precisely controlling level by level behavior

descriptionPublicationkeyboard_double_arrow_right Article 15 Mar 2017 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 63, pages 77-84 (issn: 0942-5616, eissn: 1521-3870,

Copyright policy )

Authors: Arthur W. Apter;

doi: 10.1002/malq.201500018

Precisely controlling level by level behavior

- Summary
- Subjects
- Metrics

Abstract

We construct four models containing one supercompact cardinal in which level by level equivalence between strong compactness and supercompactness and level by level inequivalence between strong compactness and supercompactness are precisely controlled at each non‐supercompact measurable cardinal. In these models, no cardinal κ is ‐supercompact, where is the least inaccessible cardinal greater than κ.

Related Organizations

King’s University
United States
THE CITY UNIVERSITY OF NEW YORK
United States
Baruch College
United States
City University of New York
United States

Keywords

Large cardinals, Consistency and independence results

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average