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Fundamental Concepts

  • Albert S. Schwarz
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 308)

Abstract

Recall that two spaces X and Y are called topologically equivalent,or homeo­morphic, if there is a bijection (one-to-one correspondence) f : XY that is continuous and whose inverse f −1 : Y → X is also continuous. Such a map is called a homeomorphism between X and Y. Intuitively, two spaces are homeo­morphic if they can be mapped to one another without either tearing or gluing (imagine the objects are made of some elastic material).

Keywords

Topological Property Configuration Space Fundamental Concept Inverse Image Homotopy Class 
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-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Albert S. Schwarz
    • 1
  1. 1.Department of Mathematics 565 Kerr HallUniversity of CaliforniaDavisUSA

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