论文标题
鲁迪亚克猜想的手术方法
Surgery Approach to Rudyak's Conjecture
论文作者
论文摘要
使用手术，我们证明了以下内容：定理。令$ f：m \ to n $为封闭的歧管之间的普通图，$ n $为$（r-1）$ - 连接，$ r \ ge 1 $。如果$ n $满足不平等$ \ dim n \ leq 2r \ cat n -3 $，则适用于lusternik -schnirelmann类别$ \ cat m \ geq \ geq \ cat n $。
Using the surgery we prove the following: THEOREM. Let $f:M \to N$ be a normal map of degree one between closed manifolds with $N$ being $(r-1)$-connected, $r\ge 1$. If $N$ satisfies the inequality $\dim N \leq 2r \cat N - 3$, then for the Lusternik-Schnirelmann category $\cat M \geq \cat N$ .
