Compact scattered spaces in forcing extensions

Kenneth Kunen. "Compact scattered spaces in forcing extensions." Fundamenta Mathematicae 185.3 (2005): 261-266. <http://eudml.org/doc/282935>.

@article{KennethKunen2005,
abstract = {We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models of $2^\{ℵ₀\} = ℵ₂$ in which no such space can have ℵ₂ countable levels.},
author = {Kenneth Kunen},
journal = {Fundamenta Mathematicae},
keywords = {compact scattered spaces; Cantor-Bendixson sequence; random reals},
language = {eng},
number = {3},
pages = {261-266},
title = {Compact scattered spaces in forcing extensions},
url = {http://eudml.org/doc/282935},
volume = {185},
year = {2005},
}

TY - JOUR
AU - Kenneth Kunen
TI - Compact scattered spaces in forcing extensions
JO - Fundamenta Mathematicae
PY - 2005
VL - 185
IS - 3
SP - 261
EP - 266
AB - We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models of $2^{ℵ₀} = ℵ₂$ in which no such space can have ℵ₂ countable levels.
LA - eng
KW - compact scattered spaces; Cantor-Bendixson sequence; random reals
UR - http://eudml.org/doc/282935
ER -