On strict inclusions in hierarchies of convex bodies
| dc.creator | Yaskin, V. | |
| dc.date | 2007-07-10 | |
| dc.date.accessioned | 2026-07-07T08:14:53Z | |
| dc.date.available | 2026-07-07T08:14:53Z | |
| dc.description | Let $\mathcal I_k$ be the class of convex $k$-intersection bodies in $\mathbb{R}^n$ (in the sense of Koldobsky) and $\mathcal I_k^m$ be the class of convex origin-symmetric bodies all of whose $m$-dimensional central sections are $k$-intersection bodies. We show that 1) $\mathcal I_k^m\not\subset \mathcal I_k^{m+1}$, $k+3\le m<n$, and 2) $\mathcal I_l \not\subset \mathcal I_k$, $1\le k<l < n-3$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0707.1471 | |
| dc.identifier | http://arxiv.org/abs/0707.1471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133290 | |
| dc.subject | Metric Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | 52A20, 52A21, 46B04 | |
| dc.title | On strict inclusions in hierarchies of convex bodies | |
| dc.type | text |