The Kunneth Theorem, also called the Kunneth formula, relates the homology of two topological spaces to the homology of their product space, expressing the homology of the product in terms of a construction built from the homology groups of the two factors, typically a tensor product together with a correction term supplied by homological algebra. Named for the German mathematician Hermann Kunneth, versions of the theorem hold across many different homology and cohomology theories, and the name has become a generic term for any such product formula.
Facts
Classification
Statement Form StatementRelates the homology of two objects to the homology of their product. 1 Connections
Has Statement Form
In Branch
Principal Result Of
Source Hermann Künneth (Wikipedia)
Proved By
Source Kunneth theorem (Wikipedia)
Sources
1. Kunneth theorem (Wikipedia)
Introduction, sentence 1
is a statement relating the homology of two objects to the homology of their product
Proved By: Hermann Künneth, Lead sentence
These many results are named for the German mathematician Hermann Künneth.
In Group: Algebraic Topology, Lead paragraph
In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the homology of two objects to the homology of their product.
View the SourceHermann Künneth (Wikipedia)
Principal Result Of: Hermann Künneth, LeadQuote, Principal Result Of: Hermann Künneth, Lead
best known for his contribution to what is now known as the Künneth theorem.
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