Pontryagin product: Difference between revisions
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==References== |
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*{{Citation | last1=Brown | first1=Kenneth S. | title=Cohomology of groups | url=http://books.google.com/books?id=PMqb2DppvCsC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-90688-1 | id={{MR|672956}} | year=1982 | volume=87}} |
*{{Citation | last1=Brown | first1=Kenneth S. | authorlink = Kenneth Brown (mathematician) | title=Cohomology of groups | url=http://books.google.com/books?id=PMqb2DppvCsC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-90688-1 | id={{MR|672956}} | year=1982 | volume=87}} |
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*{{Citation | last1=Pontrjagin | first1=L. | title=Homologies in compact Lie groups | id={{MR|0001563}} | year=1939 | journal=Rec. Math. N. S. [Mat. Sbornik] | volume=6(48) | pages=389–422}} |
*{{Citation | last1=Pontrjagin | first1=L. | authorlink = Lev Pontrjagin | title=Homologies in compact Lie groups | id={{MR|0001563}} | year=1939 | journal=Rec. Math. N. S. [Mat. Sbornik] | volume=6(48) | pages=389–422}} |
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[[Category:Homology theory]] |
[[Category:Homology theory]] |
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Revision as of 05:14, 17 November 2013
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, vol. 87, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90688-1, MR672956
- Pontrjagin, L. (1939), "Homologies in compact Lie groups", Rec. Math. N. S. [Mat. Sbornik], 6(48): 389–422, MR0001563