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Betti group

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In a broad sense, the same as a homology group; in a narrow sense, the Betti group is the free part of the homology group with as domain of coefficients the group of integers, if this homology group is finitely generated. Named after E. Betti (1823–1892).

References

[1] H. Seifert, W. Threlfall, "A textbook of topology" , Acad. Press (1980) (Translated from German)
[2] P.S. Aleksandrov, "An introduction to homological dimension theory and general combinatorial topology" , Moscow (1975) (In Russian)


Comments

References

[a1] E.H. Spanier, "Algebraic topology" , McGraw-Hill (1966)
How to Cite This Entry:
Betti group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Betti_group&oldid=32657
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article