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Eilenberg–Steenrod Axioms for Homology and Cohomology Theories

  • Mahima Ranjan Adhikari
Chapter

Abstract

This chapter presents an approach formulating axiomatization of homology and cohomology theories which makes the subject algebraic topology elegant and provides a quick access to further study. These axioms, now called Eilenberg and Steenrod axioms for homology and cohomology theories, were announced by S. Eilenberg (1915–1998) and N. Steenrod (1910–1971) in 1945 but first appeared in their celebrated book “The Foundations of Algebraic Topology” in 1952.

Keywords

Cohomology Group Homology Group Homotopy Type Algebraic Topology Axiomatic Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer India 2016

Authors and Affiliations

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

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