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

Manifold 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

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

Personalised recommendations