论文标题
关于广义的投影产品空间和折叠式歧管
On generalized projective product spaces and Dold manifolds
论文作者
论文摘要
D.戴维斯（D. Davis）在2010年引入了投射产品空间，作为真实投射空间的概括，并讨论了它们的一些拓扑特性。另一方面，A。Dold在1956年引入了DOLD歧管，以研究非定向恢复环的发电机。最近，在2019年，A。Nath和P. Sankaran对Dold歧管进行了适度的概括。在本文中，我们同时概括了投射产品空间和垂涎的歧管的概念，从而导致了许多不同类别的新平滑歧管类别。我们的主要目标是研究积分同源组。在某些广义的投影产品空间和垂坠歧管上，共同学环，稳定的切线束和矢量场问题。
D. Davis introduced projective product spaces in 2010 as a generalization of real projective spaces and discussed some of their topological properties. On the other hand, Dold manifolds were introduced by A. Dold in 1956 to study the generators of the non-oriented cobordism ring. Recently, in 2019, A. Nath and P. Sankaran made a modest generalization of Dold manifolds. In this paper we simultaneously generalize both the notions of projective product spaces and Dold manifolds, leading to infinitely many different classes of new smooth manifolds. Our main goal will be to study the integral homology groups. cohomology rings, stable tangent bundles, and vector field problems, on certain generalized projective product spaces and Dold manifolds.
