arXiv Open Access 2020

Surgery Approach to Rudyak's Conjecture

Alexander Dranishnikov Jamie Scott

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Abstrak

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 $\cat M \geq \cat N$ .

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Penulis (2)

Alexander Dranishnikov

Jamie Scott

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APA MLA BibTeX

Dranishnikov, A., Scott, J. (2020). Surgery Approach to Rudyak's Conjecture. https://arxiv.org/abs/2008.06002

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓