arXiv (All)
open access
A construction of Kakeya Sets in Arbitrary Dimension
We construct Kakeya sets in arbitrary dimension $d\geq 2$, generalizing the classical Perron tree construction beyond dimension $2$. The Kakeya sets we construct have $δ$-neighbourhood of volume at most $C|\logδ|^{-(d-1)}$, which improves on previously known constructions, and which is conjecturally
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Log-concavity and Approximate Counting for Totally Unimodular Polytopes#1145084
- Improved Integrality Gap for Multicommodity Flow on Trees#985353
- A Proof of the Tratnik-Ye Medianity Conjecture of Resonance Graphs on Surfaces#1070497
- Massively parallel tandem traversal of bounding volume hierarchies for geometric queries on distributed meshes#8264
- Fractional Dichromatic Number and Domination in Tournaments#1129783
Record · ID 1014769
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive