Ramsey subsets of the space of infinite block sequences of vectors

Autor:	Calderon, Daniel, Di Prisco, Carlos, Mijares, Jose G.
Rok vydání:	2018
Předmět:	Mathematics - Combinatorics Primary 05E35 Secondary 03E55
Druh dokumentu:	Working Paper
Popis:	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 $k=1$ fit in the theory of the Ramsey space of infinite block sequences of finite sets of natural numbers. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.10054 Zobrazit plný text záznamu View this record from Arxiv