By Veblen O., Whitehead J. H.

Show description

Read or Download A Set of Axioms for Differential Geometry PDF

Best geometry and topology books

The Geometry of Rene Descartes

The good paintings that based analytical geometry. incorporated this is the unique French textual content, Descartes’ personal diagrams, including the definitive Smith-Latham translation. "The maximum unmarried step ever made within the growth of the precise sciences. "— John Stuart Mill.

Additional info for A Set of Axioms for Differential Geometry

Sample text

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.

Download PDF sample

Rated 4.82 of 5 – based on 14 votes