Pontryagin product

In mathematics, the Pontryagin product, introduced by Pontryagin (1939), is a product on the homology of a topological space induced by a product on the topological space. Special cases include the Pontryagin product on the homology of an abelian group, the Pontryagin product on an H-space, and the Pontryagin product on a loop space.

References

• Brown, Kenneth S. (1982), Cohomology of groups, Graduate Texts in Mathematics 87, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90688-1, MR 672956
• Pontrjagin, L. (1939), "Homologies in compact Lie groups", Rec. Math. N. S. [Mat. Sbornik] 6 (48): 389–422, MR 0001563