论文标题
特殊的通用地图和折叠地图以及有关较高尺寸歧管的三重梅西产品的信息
Special generic maps and fold maps and information on triple Massey products of higher dimensional differentiable manifolds
论文作者
论文摘要
封闭（和简单连接的）歧管大于4的歧管是经典代数拓扑和差异拓扑中的中央几何对象。它们通过代数和抽象对象进行了分类。另一方面，很难以几何和建设性的方式理解它们。 在本文中，我们通过显式折叠图，较高的摩尔斯函数函数的较高尺寸版本展示了此类研究。作者捕获了拓扑结构的信息和封闭（且相互连接的）歧管的可区分结构，这些歧管与以前的同型相对于同质性并不那么复杂，并且通过构造这些地图的构造封闭（和简单地连接）歧管的共同体学环。在本文中，作为一项更精确的工作，我们以这种方式捕获了所谓的梅西产品。
Closed (and simply-connected) manifolds whose dimensions are larger than 4 are central geometric objects in classical algebraic topology and differential topology. They have been classified via algebraic and abstract objects. On the other hand, It is difficult to understand them in geometric and constructive ways. In the present paper, we show such studies via explicit fold maps, higher dimensional versions of Morse functions. The author captured information of the topologies and the differentiable structures of closed (and simply-connected) manifolds which are not so complicated with respect to homotopy previously and cohomology rings of more general closed (and simply-connected) manifolds via construction of these maps. In the present paper, as a more precise work, we capture so-called (triple) Massey products in this way.
