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* This work was done under contract N7-onr 434 Task Order III, Naval Department, Office of Naval Research. 1 Cartan, H., "Algebraic Topology," Harvard Univ., 1949; Wallace, A. D. "Outline for Algebraic Topology I," Tulane Univ., 1949-1950; and Wallace A. D., "Map Excision Theorem," Duke Math. J., 19 (1952). 2 Cf. Tukey, J. W., "Convergence and Uniformity in General Topology," Ann. Math. Studies, Princeton, 1940, p. 53. 3 Cf. Tukey, J. W., loc. cit. 4 See Stone, A. H., "Paracompactness and Product Spaces," Bull. Am. Math. Soc., 54, 977-982 (1948). 6 Cf. Spanier, E. H., "Cohomology Theory for General Spaces," Ann. Math. (2), 49, 407-427 (1948). 6 Cf. Wallace, A. D., loc. cit. 7 See Dowker, C. H., "t2ech Cohomology Theory and the Axioms," Ibid. (2) 51, 278-292 (1950). 8 Cf. Spanier, E. H., loc. cit. ' Cf. Wallace, A. D., loc. cit. 10 Spanier, E. H., loc. cit. and Dowker, C. H., loc. cit. (2) 51, 418. 11 Cf. Eilenberg, S., "Singular Homology Theory," Ibid., (1944), Cor. 9.3. 12P2 A A = fUn Al UE P21. 13 Make use of a homotopy lemma similar to Spanier, loc. cit., Lemma 9.1.

On the Early Chemical History of the Earth and the Origin of Life