Skip to main content

Covering Spaces

  • Chapter
  • 2055 Accesses

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

This chapter is designed to show the power of the fundamental group. We shall consider a class of mappings p: E → B, called “covering projections,” from a “covering space” E to a “base space” B to which we can extend the Covering Homotopy Property discussed in Chapter 4. Precise definitions are given in the next section.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag, New York Inc.

About this chapter

Cite this chapter

Croom, F.H. (1978). Covering Spaces. In: Basic Concepts of Algebraic Topology. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9475-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-9475-4_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90288-3

  • Online ISBN: 978-1-4684-9475-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics