Ramsey subsets of the space of infinite block sequences of vectors
arXiv:1810.10054 · doi:10.4064/fm129-10-2021
Abstract
We study families of infinite block sequences of elements of the space $\FIN_k$. 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 fit in the theory of the Ramsey space of infinite block sequences of finite sets of natural numbers.
arXiv comment25 pages