Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions
Bulletin of the Polish Academy of Sciences. Mathematics (2015)
- Volume: 63, Issue: 3, page 185-194
- ISSN: 0239-7269
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topArthur W. Apter. "Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions." Bulletin of the Polish Academy of Sciences. Mathematics 63.3 (2015): 185-194. <http://eudml.org/doc/281188>.
@article{ArthurW2015,
abstract = {We construct a model for the level by level equivalence between strong compactness and supercompactness with an arbitrary large cardinal structure in which the least supercompact cardinal κ has its strong compactness indestructible under κ-directed closed forcing. This is in analogy to and generalizes the author's result in Arch. Math. Logic 46 (2007), but without the restriction that no cardinal is supercompact up to an inaccessible cardinal.},
author = {Arthur W. Apter},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {supercompact cardinal; strongly compact cardinal; indestructibility; gitik iteration; magidor iteration of prikry forcing; level by level equivalence between strong compactness and supercompactness},
language = {eng},
number = {3},
pages = {185-194},
title = {Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions},
url = {http://eudml.org/doc/281188},
volume = {63},
year = {2015},
}
TY - JOUR
AU - Arthur W. Apter
TI - Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 3
SP - 185
EP - 194
AB - We construct a model for the level by level equivalence between strong compactness and supercompactness with an arbitrary large cardinal structure in which the least supercompact cardinal κ has its strong compactness indestructible under κ-directed closed forcing. This is in analogy to and generalizes the author's result in Arch. Math. Logic 46 (2007), but without the restriction that no cardinal is supercompact up to an inaccessible cardinal.
LA - eng
KW - supercompact cardinal; strongly compact cardinal; indestructibility; gitik iteration; magidor iteration of prikry forcing; level by level equivalence between strong compactness and supercompactness
UR - http://eudml.org/doc/281188
ER -
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