Indestructibility, strongness, and level by level equivalence

Arthur W. Apter

Fundamenta Mathematicae (2003)

  • Volume: 177, Issue: 1, page 45-54
  • ISSN: 0016-2736

Abstract

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We construct a model in which there is a strong cardinal κ whose strongness is indestructible under κ-strategically closed forcing and in which level by level equivalence between strong compactness and supercompactness holds non-trivially.

How to cite

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Arthur W. Apter. "Indestructibility, strongness, and level by level equivalence." Fundamenta Mathematicae 177.1 (2003): 45-54. <http://eudml.org/doc/283122>.

@article{ArthurW2003,
abstract = {We construct a model in which there is a strong cardinal κ whose strongness is indestructible under κ-strategically closed forcing and in which level by level equivalence between strong compactness and supercompactness holds non-trivially.},
author = {Arthur W. Apter},
journal = {Fundamenta Mathematicae},
keywords = {supercompact cardinal; strongly compact cardinal; strong cardinal; level by level equivalence between strong compactness and supercompactness; forcing},
language = {eng},
number = {1},
pages = {45-54},
title = {Indestructibility, strongness, and level by level equivalence},
url = {http://eudml.org/doc/283122},
volume = {177},
year = {2003},
}

TY - JOUR
AU - Arthur W. Apter
TI - Indestructibility, strongness, and level by level equivalence
JO - Fundamenta Mathematicae
PY - 2003
VL - 177
IS - 1
SP - 45
EP - 54
AB - We construct a model in which there is a strong cardinal κ whose strongness is indestructible under κ-strategically closed forcing and in which level by level equivalence between strong compactness and supercompactness holds non-trivially.
LA - eng
KW - supercompact cardinal; strongly compact cardinal; strong cardinal; level by level equivalence between strong compactness and supercompactness; forcing
UR - http://eudml.org/doc/283122
ER -

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