Advertisement

Introduction and Foundations

  • John Stillwell
Part of the Graduate Texts in Mathematics book series (GTM, volume 72)

Abstract

Topology is the branch of geometry which studies the properties of figures under arbitrary continuous transformations. Just as ordinary geometry considers two figures to be the same if each can be carried into the other by a rigid motion, topology considers two figures to be the same if each can be mapped onto the other by a one-to-one continuous function. Such figures are called topologically equivalent, or homeomorphic, and the problem of deciding whether two figures are homeomorphic is called the homeomorphism problem.

Keywords

Normal Subgroup Fundamental Group Limit Point Simplicial Complex Word Problem 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1993

Authors and Affiliations

  • John Stillwell
    • 1
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia

Personalised recommendations