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Continuous Functions on an Interval

  • Sterling K. Berberian
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Intervals are convex (4.1.4) and closed intervals are compact (4.5.4); these special properties of intervals are reflected in special properties of continuous functions defined on them. Applications include the construction of n’th roots, a characterization of injectivity (§6.4) and automatic continuity of inverse functions (§6.5).

Keywords

Continuous Function Inverse Function Closed Interval Large Element Uniform Continuity 
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

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Sterling K. Berberian
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA

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