Open covers and the square bracket partition relation
Authors:
Marion Scheepers
Affiliation:
Department of Mathematics and Computer Science Boise State University Boise, Idaho 83725
Abstract:
An open cover of an infinite separable metric space is an -cover of if and for every finite subset of there is a such that . Let be the collection of -covers of . We show that the partition relation holds if, and only if, the partition relation holds.