Obstruction Theory

  • Edwin H. Spanier


in this chapter we develop obstruction theory for the general lifting problem. A sequence of obstructions is defined whose vanishing is necessary and sufficient for the existence of a lifting. The kth obstruction in the sequence is defined if and only if all the lower obstructions are defined and vanish, in which case the vanishing of the kth obstruction is a necessary condition for definition of the (k + l)st obstruction.


Obstruction Theory Free Homotopy Class Lift Problem Weak Homotopy Cohomology Operation 
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Copyright information

© Springer-Verlag New York, Inc. 1966

Authors and Affiliations

  • Edwin H. Spanier
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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