Universal Indestructibility is Consistent with Two Strongly Compact Cardinals

Arthur W. Apter

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 2, page 131-135
  • ISSN: 0239-7269

Abstract

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We show that universal indestructibility for both strong compactness and supercompactness is consistent with the existence of two strongly compact cardinals. This is in contrast to the fact that if κ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal λ > κ is measurable.

How to cite

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Arthur W. Apter. "Universal Indestructibility is Consistent with Two Strongly Compact Cardinals." Bulletin of the Polish Academy of Sciences. Mathematics 53.2 (2005): 131-135. <http://eudml.org/doc/280932>.

@article{ArthurW2005,
abstract = {We show that universal indestructibility for both strong compactness and supercompactness is consistent with the existence of two strongly compact cardinals. This is in contrast to the fact that if κ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal λ > κ is measurable.},
author = {Arthur W. Apter},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {supercompact cardinal; strongly compact cardinal; indestructibility; universal indestructibility},
language = {eng},
number = {2},
pages = {131-135},
title = {Universal Indestructibility is Consistent with Two Strongly Compact Cardinals},
url = {http://eudml.org/doc/280932},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Arthur W. Apter
TI - Universal Indestructibility is Consistent with Two Strongly Compact Cardinals
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 2
SP - 131
EP - 135
AB - We show that universal indestructibility for both strong compactness and supercompactness is consistent with the existence of two strongly compact cardinals. This is in contrast to the fact that if κ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal λ > κ is measurable.
LA - eng
KW - supercompact cardinal; strongly compact cardinal; indestructibility; universal indestructibility
UR - http://eudml.org/doc/280932
ER -

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