Rudyak's conjecture for lower dimensional 1-connected manifolds

Alexander Dranishnikov; Deep Kundu

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arXiv · 2508.18534

Rudyak's conjecture for lower dimensional 1-connected manifolds

Alexander Dranishnikov·Deep Kundu

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Abstract

Rudyak's conjecture states that for any degree one map $f:M\to N$ between oriented closed manifolds there is the inequality $\cat (M)\ge \cat(N)$ for the Lusternik-Shnirelmann category. We prove the Rudyak's conjecture for $ n$-dimensional simply connected spin manifolds for $n\le 8$.

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Alexander Dranishnikov, Deep Kundu. 2025-08-25. Rudyak's conjecture for lower dimensional 1-connected manifolds. https://arxiv.org/abs/2508.18534

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