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Cohomology Group


The nth cohomology group of a cochain complex (C^*,d) is H^n=ker(d:C^n->C^(n+1))/im(d:C^(n-1)->C^n). For a topological space, singular cohomology is obtained by applying a coefficient-group hom functor to its singular chain complex.


See also

Cochain Complex, Cohomology, Homology Group

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References

Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.

Cite this as:

Weisstein, Eric W. "Cohomology Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CohomologyGroup.html

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