Internally club and approachable for larger structures

John Krueger. "Internally club and approachable for larger structures." Fundamenta Mathematicae 201.2 (2008): 115-129. <http://eudml.org/doc/283095>.

@article{JohnKrueger2008,
abstract = {We generalize the notion of a fat subset of a regular cardinal κ to a fat subset of $P_\{κ\}(X)$, where κ ⊆ X. Suppose μ < κ, $μ^\{<μ\} = μ$, and κ is supercompact. Then there is a generic extension in which κ = μ⁺⁺, and for all regular λ ≥ μ⁺⁺, there are stationarily many N in $[H(λ)]^\{μ⁺\}$ which are internally club but not internally approachable.},
author = {John Krueger},
journal = {Fundamenta Mathematicae},
keywords = {fat; internally club; internally approachable},
language = {eng},
number = {2},
pages = {115-129},
title = {Internally club and approachable for larger structures},
url = {http://eudml.org/doc/283095},
volume = {201},
year = {2008},
}

TY - JOUR
AU - John Krueger
TI - Internally club and approachable for larger structures
JO - Fundamenta Mathematicae
PY - 2008
VL - 201
IS - 2
SP - 115
EP - 129
AB - We generalize the notion of a fat subset of a regular cardinal κ to a fat subset of $P_{κ}(X)$, where κ ⊆ X. Suppose μ < κ, $μ^{<μ} = μ$, and κ is supercompact. Then there is a generic extension in which κ = μ⁺⁺, and for all regular λ ≥ μ⁺⁺, there are stationarily many N in $[H(λ)]^{μ⁺}$ which are internally club but not internally approachable.
LA - eng
KW - fat; internally club; internally approachable
UR - http://eudml.org/doc/283095
ER -