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Accad. dei Lincei. : 48-50. [24] On certain numerical invariants of algebraic varieties with application to Abelian varieties. Trans. Amer. Math. , 22: 327-482. Awarded the Bocher Memorial Prize by the American Mathematical Society in 1924. A translation, with minor modifications, of the memoir awarded the Prix Bordin by the Acade*mie des Sciences, Paris, for the year 1919; for announcement, see Acad. des Sci. , 169: 1200-1202, [23] and d' existence des 1 Bull. Sci. , 44: 5-7. 1923 [25] Continuous transformations of manifolds.

And G(g) is non-zero, the two will maps The reduction of the computation of L(f, g) to a sum of traces is carried out much as before. The result, however, is not easily expressed in invariant form in the original language of homology. The invariant form needs also the language of cohomology. Let JJL, v NORMAN 28 E. STEENROD denote the duality isomorphisms between homology and cohomology and with rational coefficients: in M N pq Let fq : Hq (M)-+Hq (N), : g*-* be the homomorphisms of homology and cohomology induced by / and g.

Math. Monthly, 23: 366-368. [12] On the residues of double integrals belonging to an algebraic surface. Quart. J. Pure and Appl. , 47: 333-343. [10] 1917 [13] Note on a problem in the theory of algebraic manifolds. , 10: 3-9. [14] Sur certains cycles Lincei. Rend. t This bibliography a deux dimensions des surfaces (5), 26, 1 algebriques. Accad. : 228-234. was prepared by Miss Mary L. Departmental Librarian. Kansas Univ. Carll, Princeton University, BIBLIOGRAPHY Sur 45 Acad. des Sci. , 164: 850-853.