A new quantitative analysis of some basic principles of the theory of functions of a real variable.
Aronszajn orderings.
On a property of partially ordered sets.
Rigid Aronszajn trees.
Very strongly rigid Boolean algebras.
Representing trees as relatively compact subsets of the first Baire class
Walks on countable ordinals and selective ultrafilters
Martin's axiom and partitions
Rectangular axioms, perfect set properties and decomposition
Universal minimal flows of automorphism groups
Partition ideals below
Motivated by an application to the unconditional basic sequence problem appearing in our previous paper, we introduce analogues of the Laver ideal on ℵ₂ living on index sets of the form and use this to refine the well-known high-dimensional polarized partition relation for of Shelah.
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