Metric Spaces

  • Anthony N. Michel
  • Charles J. Herget


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.


Open Subset Topological Space Real Line Closed Subset Cauchy Sequence 
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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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