论文标题
一类自然概括的特殊通用图
A class of naturally generalized special generic maps
论文作者
论文摘要
特殊的通用图是摩尔斯函数的概括，在球体球体的球体和规范投影上恰好有两个奇异点。它们在相当多的情况下强烈限制了域的歧管，并且在代数拓扑和特定类别的多种层状和差异拓扑中很重要，在某些意义上被认为是基本的歧管，在大量情况下承认了此类地图。 我们在本文中提出了一类通用的特殊通用图，并扩展了作者特殊通用图的结构和某些代数拓扑特性的基本结果。我们目前的研究将是一项关于一类通用特殊通用图的开创性研究。例如，由于其良好的结构，对代数拓扑特性和特殊通用图的差异拓扑的研究进行了研究。
Special generic maps are generalizations of Morse functions with exactly two singular points on spheres and canonical projections of unit spheres. They restrict the manifolds of the domains strongly in considerable cases and are important in algebraic topology and differential topology of manifolds of specific classes and manifolds regarded as elementary in some senses admit such maps in considerable cases. We propose a class of generalized special generic maps in our present paper and extend a fundamental result on structures and some algebraic topological properties of special generic maps by the author. Our present study will be a pioneering study on nice classes of generalized special generic maps. Studies of algebraic topological properties and differential topological ones of special generic maps have developed due to their nice structures for example.
