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Preliminaries

  • Albert T. Lundell
  • Stephen Weingram
Part of the The University Series in Higher Mathematics book series (USHM)

Abstract

The purpose of this initial chapter is to clarify our peculiarities of notation and meaning. Our terminology from general topology will usually coincide with that of a standard text such as Kelley [22] with the following exceptions. A compact space is a space that has the finite subcover property and is Hausdorff. Thus a locally compact space will always be Hausdorff. In addition, a normal space is one in which disjoint closed sets can be separated by disjoint open neighborhoods and is Hausdorff. Thus a normal space for us is what Kelley would call T4. This also applies to perfect normality.

Keywords

Disjoint Union Compact Space Deformation Retract Deformation Retraction Strong Deformation Retract 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Litton Educational Publishing, Inc. 1969

Authors and Affiliations

  • Albert T. Lundell
    • 1
  • Stephen Weingram
    • 2
  1. 1.University of ColoradoBoulderUSA
  2. 2.Purdue UniversityLafayetteUSA

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