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تسجيل مستخدم جديدSurgery Approach to Rudyaks Conjecture
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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, $rge 1$. If $N$ satisfies the inequality $dim N leq 2r cat N - 3$, then for the Lusternik-Schnirelmann category $cat M geq cat N$ .
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Rudyaks conjecture states that cat$(M) geq$ cat$(N)$ given a degree one map $f:M to N$ between closed manifolds. We generalize this conjecture to sectional category, and follow the methodology of [5] to get the following result: Given a normal map of
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