On the non-extendibility of strongness and supercompactness through strong compactness
Fundamenta Mathematicae (2002)
- Volume: 174, Issue: 1, page 87-96
- ISSN: 0016-2736
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topArthur W. Apter. "On the non-extendibility of strongness and supercompactness through strong compactness." Fundamenta Mathematicae 174.1 (2002): 87-96. <http://eudml.org/doc/282607>.
@article{ArthurW2002,
abstract = {If κ is either supercompact or strong and δ < κ is α strong or α supercompact for every α < κ, then it is known δ must be (fully) strong or supercompact. We show this is not necessarily the case if κ is strongly compact.},
author = {Arthur W. Apter},
journal = {Fundamenta Mathematicae},
keywords = {supercompact cardinal; strongly compact cardinal; strong cardinal; non-reflecting stationary set of ordinals},
language = {eng},
number = {1},
pages = {87-96},
title = {On the non-extendibility of strongness and supercompactness through strong compactness},
url = {http://eudml.org/doc/282607},
volume = {174},
year = {2002},
}
TY - JOUR
AU - Arthur W. Apter
TI - On the non-extendibility of strongness and supercompactness through strong compactness
JO - Fundamenta Mathematicae
PY - 2002
VL - 174
IS - 1
SP - 87
EP - 96
AB - If κ is either supercompact or strong and δ < κ is α strong or α supercompact for every α < κ, then it is known δ must be (fully) strong or supercompact. We show this is not necessarily the case if κ is strongly compact.
LA - eng
KW - supercompact cardinal; strongly compact cardinal; strong cardinal; non-reflecting stationary set of ordinals
UR - http://eudml.org/doc/282607
ER -
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