Topology is the branch of mathematics dedicated to the study of continuous maps. The concept of a continuous map has already proven important in calculus, for example, when studying maps between metric spaces compatible with the formation of limits. In this chapter, we will start by reviewing this context and then follow on.

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Basic Concepts of Topology

  • Gerd Laures,
  • Markus Szymik

摘要

Topology is the branch of mathematics dedicated to the study of continuous maps. The concept of a continuous map has already proven important in calculus, for example, when studying maps between metric spaces compatible with the formation of limits. In this chapter, we will start by reviewing this context and then follow on.