Abstract

This paper proves the dimension estimates for Cartesian products and slices used by the later Marstrand-type slicing lemma in the dependence graph.

Role in dependence graphs

Proof-critical source

Bounded trajectories of quasi-rays

This paper is included only for the following marked statement:

  • Cartesian-product slicing theorem · pp. 198–202Proves the dimension-slicing lower bound imported as Kleinbock–Margulis Lemma 1.4(a).

AI-generated audit

Audit summary

Not a correctness certificate. These reports do not replace expert scrutiny or formal verification.

No audit has been generated for this published version.