论文标题
广义$π_2$ -DiffEomormormormormormormormormorphistions Theorem
A Generalized $π_2$-Diffeomorphism Finiteness Theorem
论文作者
论文摘要
The $π_2$-diffeomorphism finiteness result (\cite{FR1,2}, \cite{PT}) asserts that the diffeomorphic types of compact $n$-manifolds $M$ with vanishing first and second homotopy groups can be bounded above in terms of $n$, and upper bounds on the absolute value of sectional curvature and diameter of $M$.在本文中，我们将通过删除$π_1（m）= 0 $并断言$ M $ $π_1（m）= 0 $的条件来概括此$π_2$ -DiffEomormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormormorphist。
The $π_2$-diffeomorphism finiteness result (\cite{FR1,2}, \cite{PT}) asserts that the diffeomorphic types of compact $n$-manifolds $M$ with vanishing first and second homotopy groups can be bounded above in terms of $n$, and upper bounds on the absolute value of sectional curvature and diameter of $M$. In this paper, we will generalize this $π_2$-diffeomorphism finiteness by removing the condition that $π_1(M)=0$ and asserting the diffeomorphism finiteness on the Riemannian universal cover of $M$.
