Condensation and large cardinals

Sy-David Friedman, and Peter Holy. "Condensation and large cardinals." Fundamenta Mathematicae 215.2 (2011): 133-166. <http://eudml.org/doc/286512>.

@article{Sy2011,
abstract = {We introduce two generalized condensation principles: Local Club Condensation and Stationary Condensation. We show that while Strong Condensation (a generalized condensation principle introduced by Hugh Woodin) is inconsistent with an ω₁-Erdős cardinal, Stationary Condensation and Local Club Condensation (which should be thought of as weakenings of Strong Condensation) are both consistent with ω-superstrong cardinals.},
author = {Sy-David Friedman, Peter Holy},
journal = {Fundamenta Mathematicae},
keywords = {large cardinals; outer model programme; generalized condensation principles; local club condensation; -superstrong cardinal},
language = {eng},
number = {2},
pages = {133-166},
title = {Condensation and large cardinals},
url = {http://eudml.org/doc/286512},
volume = {215},
year = {2011},
}

TY - JOUR
AU - Sy-David Friedman
AU - Peter Holy
TI - Condensation and large cardinals
JO - Fundamenta Mathematicae
PY - 2011
VL - 215
IS - 2
SP - 133
EP - 166
AB - We introduce two generalized condensation principles: Local Club Condensation and Stationary Condensation. We show that while Strong Condensation (a generalized condensation principle introduced by Hugh Woodin) is inconsistent with an ω₁-Erdős cardinal, Stationary Condensation and Local Club Condensation (which should be thought of as weakenings of Strong Condensation) are both consistent with ω-superstrong cardinals.
LA - eng
KW - large cardinals; outer model programme; generalized condensation principles; local club condensation; -superstrong cardinal
UR - http://eudml.org/doc/286512
ER -