Obstruction Theory

  • Mahima Ranjan Adhikari


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.


Cohomology Class Homotopy Class Algebraic Topology Extension Problem Homotopy Classification 
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© Springer India 2016

Authors and Affiliations

  1. 1.Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)KolkataIndia

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