Difference between revisions of "Homology base"
From Encyclopedia of Mathematics
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''(of a complex or of a topological space) with respect to a given coefficient group'' | ''(of a complex or of a topological space) with respect to a given coefficient group'' | ||
| − | A system of | + | A system of [[cycle]]s $z_1,\ldots,z_n$ with the following properties: None of their non-trivial linear combinations is homologous to zero and each cycle is homologous to one of their linear combinations. |
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Latest revision as of 21:02, 15 May 2017
(of a complex or of a topological space) with respect to a given coefficient group
A system of cycles $z_1,\ldots,z_n$ with the following properties: None of their non-trivial linear combinations is homologous to zero and each cycle is homologous to one of their linear combinations.
How to Cite This Entry:
Homology base. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Homology_base&oldid=41472
Homology base. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Homology_base&oldid=41472
This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article