Rapid ultrafilter need not be Q-point
Rectangular axioms, perfect set properties and decomposition
Relations between ß X / X and a Certain Subspace of ... X.
Remarks on powers of lattices
Remarks on products of σ-ideals
Representation of functions of two variables as sums of rectangular functions, I
Rings of Real-Valued Continuous Functions. II.
Rudin's Dowker space in the extension with a Suslin tree
We introduce a generalization of a Dowker space constructed from a Suslin tree by Mary Ellen Rudin, and the rectangle refining property for forcing notions, which modifies the one for partitions due to Paul B. Larson and Stevo Todorčević and is stronger than the countable chain condition. It is proved that Martin's Axiom for forcing notions with the rectangle refining property implies that every generalized Rudin space constructed from Aronszajn trees is non-Dowker, and that the same can be forced...