Abstract
This chapter studies a theory known as “Obstruction Theory” by applying cohomology theory to encounter two basic problems in algebraic topology such as extension and lifting problems. Obvious examples are the homotopy extension and homotopy lifting problems. The homotopy classifications of continuous maps together with the study of extension and lifting problems, play a central role in algebraic topology.
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Adhikari, M.R. (2016). Obstruction Theory. In: Basic Algebraic Topology and its Applications. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2843-1_16
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DOI: https://doi.org/10.1007/978-81-322-2843-1_16
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