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.
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© 1966 Springer-Verlag New York, Inc.
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Spanier, E.H. (1966). Obstruction Theory. In: Algebraic Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9322-1_9
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DOI: https://doi.org/10.1007/978-1-4684-9322-1_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94426-5
Online ISBN: 978-1-4684-9322-1
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