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Lindelöf Indestructibility, Topological Games and Selection Principles
Fundamenta Mathematicae
  • Marion Scheepers, Boise State University
  • Franklin D. Tall, University of Toronto
Document Type
Article
Publication Date
10-1-2010
Disciplines
Abstract
Arhangel'skii proved that if a first countable Hausdorff space is Lindelöf, then its cardinality is at most 2 א‎0. Such a clean upper bound for Lindelöf spaces in the larger class of spaces whose points are Gδ has been more elusive. In this paper we continue the agenda started by the second author, [Topology Appl. 63 (1995)], of considering the cardinality problem for spaces satisfying stronger versions of the Lindelöf property. Infinite games and selection principles, especially the Rothberger property, are essential tools in our investigations.
Citation Information
Marion Scheepers and Franklin D. Tall. "Lindelöf Indestructibility, Topological Games and Selection Principles" Fundamenta Mathematicae (2010)
Available at: http://works.bepress.com/marion_scheepers/9/