Ramsey subsets of the space of infinite block sequences of vectors
Abstract
We study families of infinite block sequences of elements of the space k. In particular we study Ramsey properties of such families and Ramsey properties localized to a selective or semiselective coideal. We show how the stable ordered-union ultrafilters defined by Blass, and Matet-adequate families defined by Eisworth in the case k=1 fit in the theory of the Ramsey space of infinite block sequences of finite sets of natural numbers.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.