OCA and towers in $\mathcal {P}(\mathbb {N})/fin$

Farah, Ilijas. "OCA and towers in $\mathcal {P}(\mathbb {N})/fin$." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 861-866. <http://eudml.org/doc/247897>.

@article{Farah1996,
abstract = {We shall show that Open Coloring Axiom has different influence on the algebra $\mathcal \{P\}(\mathbb \{N\})/fin$ than on $\mathbb \{N\}^\mathbb \{N\}/fin$. The tool used to accomplish this is forcing with a Suslin tree.},
author = {Farah, Ilijas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Open Coloring Axiom; dense sets of reals; towers; forcing; Suslin trees; open coloring axiom; dense sets of reals; towers; forcing; Suslin trees; Martin's axiom},
language = {eng},
number = {4},
pages = {861-866},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {OCA and towers in $\mathcal \{P\}(\mathbb \{N\})/fin$},
url = {http://eudml.org/doc/247897},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Farah, Ilijas
TI - OCA and towers in $\mathcal {P}(\mathbb {N})/fin$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 861
EP - 866
AB - We shall show that Open Coloring Axiom has different influence on the algebra $\mathcal {P}(\mathbb {N})/fin$ than on $\mathbb {N}^\mathbb {N}/fin$. The tool used to accomplish this is forcing with a Suslin tree.
LA - eng
KW - Open Coloring Axiom; dense sets of reals; towers; forcing; Suslin trees; open coloring axiom; dense sets of reals; towers; forcing; Suslin trees; Martin's axiom
UR - http://eudml.org/doc/247897
ER -

References

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