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Sep 26, 2011 at 18:11 comment added Joel David Hamkins Homogeneous means that you can attain $\pi(a)=b$. This is very rarely the case, for the Boolean algebras that arise in forcing, and so almost homogeneity is the principal notion.
Sep 26, 2011 at 15:44 comment added Colin Reid What does 'homogeneous' mean in this context?
Sep 26, 2011 at 15:03 history answered Joel David Hamkins CC BY-SA 3.0