An upper bound for the three-dimensional moving sofa problem in a snaky corridor RENT22YXW3
| URI | m2://res/RENT22YXW3 |
|---|---|
| Kind | preprint |
| Creators | Yuzhe Tang |
| Date | 2026-10-05 |
| Subjects | arxiv cs.CG, arxiv math.MG |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-10-05 |
|---|---|
| Ids | arXiv 2610.14050 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| two-tube volume bound | statement | lemma 7.1 | arxiv |
| tube confinement | statement | lemma 3.2 | arxiv |
| $8$-corner exactness | statement | lemma A.2 | arxiv |
| sharp tilt | statement | lemma 5.1 | arxiv |
| calculus of the bound functions | statement | lemma 5.4 | arxiv |
| tube--slab estimate | statement | lemma 4.2 | arxiv |
| continuity of the height profile | statement | lemma 3.3 | arxiv |
| deep point | statement | lemma 3.5 | arxiv |
| traversal; the objective | definition | definition 2.2 | arxiv |
| event-forced tube family | statement | proposition 6.1 | arxiv |
| no long segments | statement | lemma 7.4 | arxiv |
| computed upper bound; computer-assisted | statement | theorem 6.2 | arxiv |
| GSSXZXSJ5B | definition | definition 2.1 | arxiv |
| rotation budget | statement | corollary 7.2 | arxiv |
| T436JBYB3X | statement | corollary 7.5 | arxiv |
| chord estimate for tubes | statement | lemma 5.3 | arxiv |
| first-crossing event | statement | lemma 3.4 | arxiv |
| tilt | statement | lemma 4.1 | arxiv |
| axis-convexity | statement | lemma A.1 | arxiv |
| sharpened upper bound | statement | theorem 5.5 | arxiv |
| tube | definition | definition 3.1 | arxiv |
| first upper bound | statement | theorem 4.3 | arxiv |
Catalogue records
- arxiv: 2610.14050 (work)