On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group
| dc.creator | Dranishnikov, A. | |
| dc.date | 2007-09-25 | |
| dc.date.accessioned | 2026-07-07T08:32:08Z | |
| dc.date.available | 2026-07-07T08:32:08Z | |
| dc.description | The following inequality \cat X\le \cat Y+\lceil\frac{hd(X)-r}{r+1}\rceil holds for every locally trivial fibration between $ANE$ spaces $f:X\to Y$ which admits a section and has the $r$-connected fiber where $hd(X)$ is the homotopical dimension of $X$. We apply this inequality to prove that \cat X\le \lceil\frac{\dim X-1}{2}\rceil+cd(π_1(X)) for every complex $X$ with $cd(π_1(X))\le 2$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0709.4018 | |
| dc.identifier | http://arxiv.org/abs/0709.4018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138704 | |
| dc.subject | Geometric Topology | |
| dc.subject | General Topology | |
| dc.subject | 55M30 | |
| dc.title | On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group | |
| dc.type | text |