@article{6719ea6dd2234b4e8d8818e3c4ebc87e,
title = "Indestructible strong compactness but not supercompactness",
abstract = "Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the least strongly compact and least supercompact cardinal and κ's strong compactness, but not its supercompactness, is indestructible under arbitrary κ-directed closed forcing.",
keywords = "Indestructibility, Prikry forcing, Strongly compact, Supercompact",
author = "Apter, \{Arthur W.\} and Moti Gitik and Grigor Sargsyan",
note = "Funding Information: The first author{\textquoteright}s research was partially supported by PSC-CUNY grants. The second author{\textquoteright}s research was partially supported by ISF Grant 234/08. This material was partially based upon work done by the third author supported by the National Science Foundation under Grant No. DMS-0902628.",
year = "2012",
month = sep,
doi = "10.1016/j.apal.2012.01.006",
language = "אנגלית",
volume = "163",
pages = "1237--1242",
journal = "Annals of Pure and Applied Logic",
issn = "0168-0072",
publisher = "Elsevier B.V.",
number = "9",
}