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merged little left-over material from what is now Pontryagin duality > history into here (just one reference and a list of “Related concepts”)
added pointer to the original:
Lev Pontrjagin, Theory of topological commutative groups, Uspekhi Mat. Nauk, 1936, no. 2, 177–195 (mathnet:umn8882)
English translation: Annals of Mathematics Second Series, Vol. 35, No. 2 (Apr., 1934), pp. 361-388 (doi:10.2307/1968438)
[edit: Hm, the dates suggest that the Russian version is actually translated from an English original? ]
added mentioning of the following example (here):
For a finite group, the fundamental group of the -fixed locus of the base space of the universal equivariant -bundle (classifying 3-twists in twisted equivariant K-theory) is
(in any connected component of a “stable map” , that is) and hence is the Pontrjagin dual group when is abelian.
Re #5:
[edit: Hm, the dates suggest that the Russian version is actually translated from an English original? ]
Yes, the Russian version explicitly says so in the first footnote. It also says that Chapter II was completely rewritten in the Russian translation, though.
[ obsolete ]
added Example cross-linking back to Brillouin torus
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