Homology base
From Encyclopedia of Mathematics
(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