Rudyak's conjecture for lower dimensional 1-connected manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915928415928320 |
|---|---|
| author | Dranishnikov, Alexander Kundu, Deep |
| author_facet | Dranishnikov, Alexander Kundu, Deep |
| contents | 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 $n\le 8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18534 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rudyak's conjecture for lower dimensional 1-connected manifolds Dranishnikov, Alexander Kundu, Deep Algebraic Topology Geometric Topology 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 $n\le 8$. |
| title | Rudyak's conjecture for lower dimensional 1-connected manifolds |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2508.18534 |