Co-operative Research of Topology

拓扑学研讨会在琉球大学举行，研究人员还举行了几次研讨会。与教育部支持的国际转型团体会议在大阪大学举行了联席会议。下面我们将介绍这个项目取得的一些成果。1.S.Yokura和G.Kennedy，奇异代数簇的Segre类的特殊化，出现在J.Reine Angew中。数学课。(1988)：本文讨论了平坦家庭的Serge类的特殊化问题。2.O.Saeki，关于S^5中的简单纤维纽结和可分解代数3-纽结的存在性，注记。数学课。你好。(1987)：本文包含定理；有无限多个由非素数的三元复多项式定义的代数纽结。3.T.Mizutani，diff R^n的Godbillon-Vey上循环，“A Fete of Topology”，学术出版社，(1988)：本文明确地给出了diff R^n的Godbillon-Vey上循环。4.M.C.Crabb，K.Knapp和K.Morisugi，关于发育迟缓的四元数射影空间的稳定Hurewicz映象，纯数学高级研究。(1986)：本文研究了四元数矮化射影空间的稳定Hurewicz映象。

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.