Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008) no. 1
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J. Brendle; P. Larson; S. Todorčević. Rectangular axioms, perfect set properties and decomposition. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008) no. 1. http://geodesic.mathdoc.fr/item/BASS_2008_33_1_a5/
@article{BASS_2008_33_1_a5,
author = {J. Brendle and P. Larson and S. Todor\v{c}evi\'c},
title = {Rectangular axioms, perfect set properties and decomposition},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {91 - 130},
year = {2008},
volume = {33},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2008_33_1_a5/}
}
TY - JOUR
AU - J. Brendle
AU - P. Larson
AU - S. Todorčević
TI - Rectangular axioms, perfect set properties and decomposition
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2008
SP - 91
EP - 130
VL - 33
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2008_33_1_a5/
ID - BASS_2008_33_1_a5
ER -
%0 Journal Article
%A J. Brendle
%A P. Larson
%A S. Todorčević
%T Rectangular axioms, perfect set properties and decomposition
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2008
%P 91 - 130
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2008_33_1_a5/
%F BASS_2008_33_1_a5
We consider three combinatorial topics
appearing in G{o}del's manuscript emph{Some considerations
leading to the probable conclusion that the true power of the
continuum is $\aleph_{2}$}. These statements concern rectangular
functions, perfect set properties, and covering properties of sets
of reals. We consider these statements in light of more recent work
on the set theory of the reals.