homology theory

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homology theory

[hə′mäl·ə·jē ‚thē·ə·rē]
(mathematics)
Theory attempting to compare topological spaces and investigate their structures by determining the algebraic nature and interrelationships appearing in the various homology groups.
References in periodicals archive ?
Other topics addressed include integral homology and the mapping degree, a comparison theorem for homology theories and CW-complexes, and Kunneth's theorem.