Resources / preprint
New bound on the Hausdorff dimension of Kakeya sets in $\mathbb{R}^4$ 585QYGX4X6
| URI | m2://res/585QYGX4X6 |
| Kind | preprint |
| Creators | Mukul Rai Choudhuri |
| Date | 2026-08-30 |
| MSC | 26-XX |
| Subjects | arxiv math.CA |
| Scope | in |
Expressions
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 |
| 1R2V0VYJ0X | statement | proposition 17 | arxiv |
| 2H6YJNCYBV | statement | lemma 31 | arxiv |
| Trilinear Kakeya in $\RR^4$ | statement | theorem 20 | arxiv |
| 423HW5NTQD | statement | proposition 30 | arxiv |
| 52HEFC1VNH | definition | definition 3 | arxiv |
| 6YP29DK5V5 | statement | theorem 1 | arxiv |
| 9J17GZ58NP | statement | corollary 12 | arxiv |
| 9S8ENDQ1P2 | statement | lemma ๐๐โก(d,a,b)\mathbf{RT}(d,a,b | arxiv |
| 9Y46K5GRGW | statement | theorem 15 | arxiv |
| AB4TYB4TJG | statement | proposition 26 | arxiv |
| B53KS3PV8Y | statement | proposition 9 | arxiv |
| Refinements | definition | definition 5 | arxiv |
| J2AKD36G2N | statement | corollary 21 | arxiv |
| JQ494YYW76 | definition | definition 2 | arxiv |
| Robust transversality | definition | definition 8 | arxiv |
| Grains decomposition | definition | definition 25 | arxiv |
| KYFN3Y8CFA | statement | theorem 10 | arxiv |
| MS0CE4GQ8A | definition | definition 13 | arxiv |
| Two-ends condition | definition | definition 6 | arxiv |
| Grain | definition | definition 24 | arxiv |
| P615YRGGSD | definition | definition 18 | arxiv |
| PDXCDY9YNC | statement | lemma 32 | arxiv |
| Q59EW857JN | statement | lemma 19 | arxiv |
| Q9ZVKDSMKC | statement | lemma ๐๐โก(d,a,b)\mathbf{TE}(d,a,b | arxiv |
| Bourgain-Guth, , Theorem 6 | statement | theorem 22 | arxiv |
| T5FBAEBARA | statement | theorem 11 | arxiv |
| The two-ends reduction | statement | proposition 7 | arxiv |
| VHA99KY2PA | definition | definition 4 | arxiv |
| Y6DQCEZ0QR | statement | lemma 29 | arxiv |
| YZAPR7PAAQ | statement | theorem 16 | arxiv |
| ZBQ37P9GJS | definition | definition 28 | arxiv |
| ZKQXP11ZR2 | definition | definition 14 | arxiv |
Catalogue records
- arxiv: 2610.12480 (work)
- arxiv_text: 2610.12480 (work)