Skip to main content

The Algebra H*(\( {\Bbb F}\) k (M);ℤ)

  • Chapter
  • 711 Accesses

Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Our aim in this chapter is to determine the structure of \(H^* (\mathbb{F}_k (M);\mathbb{Z})\), as an algebra, when M is ℝn+1 or S n+1 (cf. [17, Cohen], [19, Cohen-Taylor]). Note that we are including the case n = 1. In this case some notational change is necessary.

Keywords

  • Cohomology Class
  • Exterior Algebra
  • Integral Coefficient
  • Dimensional Reason
  • Homotopy Exact Sequence

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-642-56446-8_7
  • Chapter length: 21 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   109.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-56446-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   149.99
Price excludes VAT (USA)
Hardcover Book
USD   179.99
Price excludes VAT (USA)

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

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fadell, E.R., Husseini, S.Y. (2001). The Algebra H*(\( {\Bbb F}\) k (M);ℤ). In: Geometry and Topology of Configuration Spaces. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56446-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56446-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63077-4

  • Online ISBN: 978-3-642-56446-8

  • eBook Packages: Springer Book Archive