论文标题
在投影空间和4-Sphere产品的轨道空间的轨道空间代数
Cohomology algebra of orbit spaces of free involutions on the product of projective space and 4-sphere
论文作者
论文摘要
让$ x $成为一个有限的空间，具有投影空间的产品空间和4个球体的产品空间的Mod 2共同体。假设$ x $承认免费互动。在本文中，我们研究了自由互动的行动，研究$ x $的商的mod 2同学代数，并在此类$ x $和$ n $ sphere之间存在$ \ mathbb {z} _2 $ - equivariant地图上的存在产生了一些后果。
Let $X$ be a finitistic space with the mod 2 cohomology of the product space of a projective space and a 4-sphere. Assume that $X$ admits a free involution. In this paper we study the mod 2 cohomology algebra of the quotient of $X$ by the action of the free involution and derive some consequences regarding the existence of $\mathbb{Z}_2$-equivariant maps between such $X$ and an $n$-sphere.
