Obstruction Theory

Edwin H. Spanier
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Edwin H. Spanier: University of California, Department of Mathematics

Chapter Chapter Eight in Algebraic Topology, 1966, pp 422-463 from Springer

Abstract: Abstract 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.

Keywords: Obstruction Theory; Free Homotopy Class; Lift Problem; Weak Homotopy; Cohomology Operation (search for similar items in EconPapers)
Date: 1966
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DOI: 10.1007/978-1-4684-9322-1_9

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