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Poincaré Duality

The Betti numbers of a compact orientable n-manifold satisfy the relation

b_i=b_(n-i).

See also

Betti Number, Homology Intersection

Cite this as:

Weisstein, Eric W. "Poincaré Duality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PoincareDuality.html