Co-operative Research of Topology

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Topology Symposium was held at Ryukyu University and several symposia were also held by investigators. A joint conference with the international conference on Transformation Groups supported by Ministry of Education was held at Osaka University.In the following we describe some results which were obtained in this project. 1. S. Yokura and G. Kennedy, Specialization of Segre classes of singular algebraic varieties, to appear in J. Reine Angew. Math. (1988): this paper deals with the specialization of Serge classes of flat families. 2. O. Saeki, On simple fibered knots in S^5 and the existence of decomposable algebraic 3-knots, Comment. Math. Helv. (1987): this paper contains Theorem; there are infinite number of algebraic knots defined by complex polynomials of three variables which are not prime. 3. T. Mizutani, The Godbillon-Vey cocycle of Diff R^n, "A Fete of Topology", Academic Press, (1988): this paper states the Godbillon-Vey cocycle of Diff R^n explicitly. 4. M. C. Crabb, K. Knapp and K. Morisugi, On the stable Hurewicz image of stunted quaternionic projective spaces, Advanced Studies in Pure Math. (1986): this paper investigates the stable Hurewicz image of stunted quaternionic projective spaces.