A Path Space and the Stiefel-whitney Classes.

I Koizumi, op. cit., 2, 267. 10 0. Zariski, "The Reduction of the Singularities of an Algebraic Surface," Ann. Math., 40, 639689, 1939; "A Simplified Proof for the Resolution of Singularities of an Algebraic Surface," ibid., 43, 583-593, 1942; S. Abhyankar, "The Theorem of Local Uniformization on Algebraic Surfaces over Modular Fields," Ann. Math. (to appear). "0. Zariski, "Pencils on an Algebraic Variety and a New Proof of a Theorem of Bertini," Trans. Am. Math. Soc., 50, 48-70, 1941; T. Matsusaka, "The Theorem of Bertini on Linear Systems in Modular Fields," Kycto Math. Mem., 26, 51-62, 1950. 12 Cf. Chow, "Abstract Theory of Picard Varieties," to appear soon in print.