Exactly controlling the non-supercompact strongly compact cardinals release_szzk73eqxvbllne3j6v2notbpy

by Arthur W. Apter, Joel David Hamkins

Published in Journal of Symbolic Logic (JSL) by Cambridge University Press (CUP).

2003   Volume 68, Issue 02, p669-688

Abstract

<jats:title>Abstract</jats:title> We summarize the known methods of producing a non-supercompact strongly compact cardinal and describe some new variants. Our Main Theorem shows how to apply these methods to many cardinals simultaneously and exactly control which cardinals are supercompact and which are only strongly compact in a forcing extension. Depending upon the method, the surviving non-supercompact strongly compact cardinals can be strong cardinals, have trivial Mitchell rank or even contain a club disjoint from the set of measurable cardinals. These results improve and unify Theorems 1 and 2 of [5], due to the first author.
In application/xml+jats format

Archived Files and Locations

application/pdf  305.1 kB
file_6llqpoqeangexexucchgv4i4ma
logic.amu.edu.pl (web)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article-journal
Stage   published
Year   2003
Language   en ?
Journal Metadata
Not in DOAJ
In Keepers Registry
ISSN-L:  0022-4812
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 5361139d-e748-425e-af74-a28357b417fb
API URL: JSON