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Segal, 21. L. Smith, 22. E. Steenrod, 23. T. tom Dieck, 24. 25. H. Kamps, D. Puppe, The classification of G-spaces, Mem. Amer. _Math. Soc. 36 (1960). The cohomology of classifying spaces of Hspaces, Bull. Amer. Math. Soc. 71 (1965), 872-5. Equivariant K-theory, publ. Math. I H E S 34 (1968), 129-151. Lectures on the Eilenberg--Moore spectral sequence, Lecture Notes in Mathematics No. 134, Springer, 1970. A convenient category of topological spaces, Mich. Math. J. 14 (1967), 133-152. Faserbundel mit Gruppenoperatlon, Arch.

5 (i) tells us that the diagram 41 l@s" (1) s@l C, _8 h*(Y)< h C, _8 D, h EI(X . @ Y; ~*)< is commutative, >h EI(X , 8 Y,;~*) where the columns are the E these are isomorphlsms of chain complexes, resolutions. (X) 9 h D, > E I ( X @ Y,; ~*) pairings ~ of spectral sequences. , as X, and Y, are both Hence they induce isomorphlsms of homology. Now 1 @ ~" , ~ | 1 also induce isomorphisms of homology - this is part of the basic definition of Tor, [9], see and the pth homology greup of each complex in the top row of (1) is canonically identified with Tor~P(~*(X), ~*(Y)).

Hodgkin, 2. F. Atiyah, 3. 4. 5. J. Beck, 6. A. , 7. G. Bredon, 8. H. Cartan, 9. i0. A. Dold, , and S. ii. Eilenberg, and R. Lashof, 12. 13. E. Dyer, L. Hodgkin, 14. M. James, 15. S. MacLane, 15a. 16. J. Milnor, 17. The K-theory of Eilenberg-MacLane complexes, To o _ ~ 7 (1968), 317-329. Characters and cohomology of finite groups, Publ. Math. I H E S 9 (1961), 23-64. Vector bundles and the Kunneth formula, ToDolo~ i (1962), 245-248. K-theory, Benjamin, 1967. On H-spaces and infinite loop spaces.