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Continuity on Metric Spaces

  • Rinaldo B. Schinazi
Chapter
  • 830 Downloads

Abstract

Let (X, d1) and (Y, d2) be two metric spaces. Let f : XY  and a an element of X. The function f is said to be continuous at a if for every sequence (xn) converging to a the sequence (f(xn)) converges to f(a).

Keywords

Euclidean Metric Uniform Continuity Easy Consequence Continuous Image 
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.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

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