Obstruction Theory

Mahima Ranjan Adhikari ()
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Mahima Ranjan Adhikari: Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)

Chapter Chapter 16 in Basic Algebraic Topology and its Applications, 2016, pp 511-531 from Springer

Abstract: 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.

Keywords: Cohomology Class; Homotopy Class; Algebraic Topology; Extension Problem; Homotopy Classification (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2843-1_16

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DOI: 10.1007/978-81-322-2843-1_16

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