*Continuous Mappings (General Theory)

  • Vladimir A. Zorich
Part of the Universitext book series (UTX)


In this chapter we generalize substantially the properties of continuous maps, established earlier for real-valued functions and for maps of the type \(f:\mathbb{R}^{m}\rightarrow \mathbb{R}^{n}\). We present these properties from a unified point of view. In particular, we introduce a number of simple, yet important concepts common for various domains of mathematics.

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Vladimir A. Zorich
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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