The Transfer and Compact Lie Groups
نویسنده
چکیده
Let G be a compact Lie group with H and K arbitrary closed subgroups. Let BG, BH, BK be /-universal classifying spaces, with p{H, G): BH -» BG the natural projection. Then transfer homomorphisms J\H, G): h(BH) -» h(BG) are defined for h an arbitrary cohomology theory. One of the basic properties of the transfer for finite coverings is a double coset formula. This paper proves a double coset theorem in the above more general context, expressing p*(K, G) •> 1\H, G) as a sum of other compositions. The main theorems were announced in the Bulletin of the American Mathematical Society in May 1977.
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