The Groups [A,ΩX] and Their Homomorphisms

  • M. Arkowitz
  • C. R. Curjel
Part of the Lecture Notes in Mathematics book series (LNM, volume 4)

Abstract

In this section we consider the group [A,ΩX] of homotopy classes of maps of the space A into the loop space ΩX and the homomorphisms f*: [B,ΩX] → [A,ΩX] induced by a continuous map f: A → B. We deal only with spaces with base points and maps and homotopies that preserve base points. Furthermore, it is assumed that all spaces have the homotopy type of connected CW-complexes with finitely generated homology and homotopy groups in each dimension.

Keywords

Betti 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1964

Authors and Affiliations

  • M. Arkowitz
    • 1
    • 2
    • 3
  • C. R. Curjel
    • 1
    • 2
    • 3
  1. 1.Dartmouth CollegeHanoverUSA
  2. 2.University of WashingtonSeattleUSA
  3. 3.Forschungsinstitut für MathematikEidg. Techn. HochschuleZürichSwitzerland

Personalised recommendations