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Article
Non-Normality Points of β X\X
Fundamenta Mathematicae
  • William Fleissner, University of Kansas
  • Lynne Yengulalp, University of Dayton
Document Type
Article
Publication Date
1-1-2011
Abstract
We seek conditions implying that (β X\X) \ {y} is not normal. Our main theorem: Assume GCH and all uniform ultrafilters are regular. If X is a locally compact metrizable space without isolated points, then (β X\X) \ {y} is not normal for all y ∈ β X\X. In preparing to prove this theorem, we generalize the notions “uniform”, “regular”, and “good” from set ultrafilters to z-ultrafilters. We discuss non-normality points of the product of a discrete space and the real line. We topologically embed a nonstandard real line into the remainder of this product space.
Inclusive pages
269-283
ISBN/ISSN
0016-2736
Document Version
Preprint
Comments

The document available for download is the authors' submitted manuscript, provided in compliance with the publisher's policy on self-archiving. Differences may exist between this document and the published version, which is available using the link provided. Permission documentation is on file.

Publisher
Instytut Matematyczny Polskiej Akademii Nauk
Peer Reviewed
Yes
Citation Information
William Fleissner and Lynne Yengulalp. "Non-Normality Points of β X\X" Fundamenta Mathematicae Vol. 214 Iss. 3 (2011)
Available at: http://works.bepress.com/lynne_yengulalp/2/