More Easton theorems for level by level equivalence

Arthur W. Apter. "More Easton theorems for level by level equivalence." Colloquium Mathematicae 128.1 (2012): 69-86. <http://eudml.org/doc/284002>.

@article{ArthurW2012,
abstract = {We establish two new Easton theorems for the least supercompact cardinal that are consistent with the level by level equivalence between strong compactness and supercompactness. These theorems generalize Theorem 1 in our earlier paper [Math. Logic Quart. 51 (2005)]. In both our ground model and the model witnessing the conclusions of our present theorems, there are no restrictions on the structure of the class of supercompact cardinals.},
author = {Arthur W. Apter},
journal = {Colloquium Mathematicae},
keywords = {supercompact cardinal; strongly compact cardinal; strong cardinal; level-by-level equivalence between strong compactness and supercompactness; Easton theorem},
language = {eng},
number = {1},
pages = {69-86},
title = {More Easton theorems for level by level equivalence},
url = {http://eudml.org/doc/284002},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Arthur W. Apter
TI - More Easton theorems for level by level equivalence
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 69
EP - 86
AB - We establish two new Easton theorems for the least supercompact cardinal that are consistent with the level by level equivalence between strong compactness and supercompactness. These theorems generalize Theorem 1 in our earlier paper [Math. Logic Quart. 51 (2005)]. In both our ground model and the model witnessing the conclusions of our present theorems, there are no restrictions on the structure of the class of supercompact cardinals.
LA - eng
KW - supercompact cardinal; strongly compact cardinal; strong cardinal; level-by-level equivalence between strong compactness and supercompactness; Easton theorem
UR - http://eudml.org/doc/284002
ER -