Combinatorics of Open Covers (III): Games, C_p(X)

Authors

Marion Scheepers, Boise State UniversityFollow

Document Type

Article

Publication Date

1-1-1997

Abstract

Some of the covering properties of spaces as defined in Parts I and II are here characterized by games. These results, applied to function spaces C_p(X) of countable tightness, give new characterizations of countable fan tightness and countable strong fan tightness. In particular, each of these properties is characterized by a Ramseyan theorem.

Copyright Statement

This document was originally published by Polska Akademia Nauk * Instytut Matematyczny (Institute of Mathematics · Polish Academy of Sciences) in Fundamenta Mathematicae. Copyright restrictions may apply. http://matwbn.icm.edu.pl/

Publication Information

Scheepers, Marion. (1997). "Combinatorics of Open Covers (III): Games, C_p(X)". Fundamenta Mathematicae, 152231-254.