Singular Homology

  • Satya DeoEmail author
Part of the Texts and Readings in Mathematics book series (TRIM, volume 27)


Having defined the simplicial homology groups of a polyhedron (space of a general simplicial complex) now we come to another kind of homology groups, called singular homology groups of a topological space. The first interesting feature of these homology groups is that they are defined for all topological spaces X, not only for polyhedra. Singular homology groups were first defined by S. Lefschetz in 1933, and were perfected in their present form by S. Eilenberg (1913–1998) in the beginning of the 1940’s.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018

Authors and Affiliations

  1. 1.Harish-Chandra Research InstituteAllahabadIndia

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