Pontryagin product: Difference between revisions

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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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 *{{Citation | last1=Brown | first1=Kenneth S. | authorlink = Kenneth Brown (mathematician) | title=Cohomology of groups | url=https://books.google.com/books?id=PMqb2DppvCsC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=[[Graduate Texts in Mathematics]] | isbn=978-0-387-90688-1 |mr=672956 | year=1982 | volume=87}}
-*{{Citation | last1=Pontrjagin | first1=Lev | authorlink = Lev Pontryagin | title=Homologies in compact Lie groups |mr=0001563 | year=1939 | journal=Rec. Math. N. S. [Mat. Sbornik] | volume=6 | issue = 48  | pages=389–422}}
+*{{Citation | last1=Pontrjagin | first1=Lev | authorlink = Lev Pontryagin | title=Homologies in compact Lie groups |mr=0001563 | year=1939 | journal=Recueil Mathématique (Matematicheskii Sbornik) N.S. | volume=6 | issue = 48  | pages=389–422}}
 [[Category:Homology theory]]
 [[Category:Group theory]]
 {{topology-stub}}