Skip to main content

Introduction

  • Chapter

Part of the Graduate Texts in Mathematics book series (GTM,volume 82)

Abstract

The most intuitively evident topological invariant of a space is the number of connected pieces into which it falls. Over the past one hundred years or so we have come to realize that this primitive notion admits in some sense two higher-dimensional analogues. These are the homotopy and cohomology groups of the space in question.

Keywords

  • Spectral Sequence
  • Homotopy Group
  • Homotopy Theory
  • Homotopy Category
  • Path Component

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: 10.1007/978-1-4757-3951-0_1
  • Chapter length: 11 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   59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4757-3951-0
  • 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   74.99
Price excludes VAT (USA)
Hardcover Book
USD   74.95
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

© 1982 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bott, R., Tu, L.W. (1982). Introduction. In: Differential Forms in Algebraic Topology. Graduate Texts in Mathematics, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3951-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3951-0_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2815-3

  • Online ISBN: 978-1-4757-3951-0

  • eBook Packages: Springer Book Archive