Ramsey theory;
Generalized Baire space;
Set-theoretic topology;
Large cardinals;
D O I:
10.1016/j.topol.2017.12.019
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We show that although the Galvin-Prikry Theorem does not hold on generalized Baire space with the standard topology, there are similar theorems which do hold on generalized Baire space with certain coarser topologies. (C) 2017 Elsevier B.V. All rights reserved.