Homotopy Groups

  • George W. Whitehead
Part of the Graduate Texts in Mathematics book series (GTM, volume 61)

Abstract

In Chapter III we saw that, if X is any space with base point, then π n (X) = [S n , X] is a group for any positive integer n. In fact, n n is a functor from the category K 0 to the category of groups if n = 1, abelian groups if n > 1. In certain respects, they resemble the homology groups, and one of the objectives of this chapter is to pursue this analogy and see where it may lead.

Keywords

Manifold Hexagonal Assure 

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • George W. Whitehead
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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