Abstract:We shall show that Open Coloring Axiom has different influence on the algebra $\Cal P(\Bbb N)/fin$ than on $\Bbb N^\Bbb N/fin$. The tool used to accomplish this is forcing with a Suslin tree.
Keywords: Open Coloring Axiom, dense sets of reals, towers, forcing, Suslin trees
AMS Subject Classification: 03E05, 03E35, 04A20, 03E50, 06A05