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Characterization of the Club Forcing
Author(s) -
ZAPLETAL JINDRICH
Publication year - 1996
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1996.tb49190.x
Subject(s) - corollary , characterization (materials science) , club , forcing (mathematics) , partially ordered set , mathematics , algebra over a field , combinatorics , pure mathematics , biology , nanotechnology , mathematical analysis , materials science , anatomy
We provide an external characterization of the algebra RO(R) , where R is Baumgartner's poset for adding a club with finite conditions. As a corollary, we show that many complete subalgebras of RO(R) must be isomorphic to either ℂ R1 or RO(R) .