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Metric Spaces

  • Anthony N. Michel
  • Charles J. Herget

Abstract

Up to this point in our development we have concerned ourselves primarily with algebraic structure of mathematical systems. In the present chapter we focus our attention on topological structure. In doing so, we introduce the concepts of “distance” and “closeness.” In the final two chapters we will consider mathematical systems endowed with algebraic as well as topological structure.

Keywords

Open Subset Topological Space Real Line Closed Subset Cauchy Sequence 
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

© Birkhäuser Boston 2007

Authors and Affiliations

  • Anthony N. Michel
    • 1
  • Charles J. Herget
    • 2
  1. 1.Department of Electrical EngineeringUniversity of Notre DameNotre DameUSA
  2. 2.Herget AssociatesAlamedaUSA

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