Pontryagin product: Difference between revisions
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In [[mathematics]], the '''Pontryagin product''', introduced by {{harvs|txt|last=Pontryagin|first=Lev|authorlink=Lev Pontryagin|year=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]]. |
In [[mathematics]], the '''Pontryagin product''', introduced by {{harvs|txt|last=Pontryagin|first=Lev|authorlink=Lev Pontryagin|year=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]]. |
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==References== |
==References== |
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Revision as of 20:32, 2 July 2020
In mathematics, the Pontryagin product, introduced by Lev 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, vol. 87, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90688-1, MR 0672956
- Pontrjagin, Lev (1939), "Homologies in compact Lie groups", Recueil Mathématique (Matematicheskii Sbornik) N.S., 6 (48): 389–422, MR 0001563
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