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38] residual set of Nat. Acad. Sci. 1928 [40] Transcendental theory ; Singular correspondences between algebraic curves ; Hyperelliptic surfaces and Abelian varieties. Chap. 15-17, p. 310-395, vol. 1, of Selected Topics in Algebraic Geometry; Report of the Com- mittee on Rational Transformations of the National Research Council. Washington (NRC Bulletin no. 63). A theorem on correspondences on algebraic curves. Amer. , 50: 159-166. [42] Closed point sets on a manifold. Ann. of Math. (2), 29: 232-254.

In modern language, K* is a deformation retract ofK. Therefore the inclusion map K*<^K induces K isomorphisms K Hn ~ (K) w H n -<*(K*). q gives the final result Of course, the Combining the two isomorphisms ^ (KJL] ^ Hn_Q(R) original result was not stated in this form since the language of cohomology had not been developed. In the original form the statement reads: the q ih Betti number of equals the th Betti number of (n K, and the g-dimensional torsion numbers g) KmodL of K modi coincide with the (n q 1) -dimensional torsion numbers of K.

Nat. Acad. Sci. , 16: 530-533. [48] On transformations of closed sets. Ann. of Math. (2), 31 271-280. : 1931 [49] On compact spaces. Ann. of Math. (2), 32: 521-538. BIBLIOGRAPHY 47 1932 [50] On certain properties of separable spaces. 18: 202-203. Proc. Nat. Acad. Sci. , [51] On separable spaces. Ann. of Math. (2), 33: 525-537. [52] Invariance absolue et invariance relative en geometric algebrique. Math. (Mat. Sbornik), 39, no. 3: 97-102. Rec. 1933 [54] On On [55] On [53] singular chains and cycles.

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