A Bouquet of Pseudo-Arcs

Tania Gricel Benitez, Lasse Rempe

correctmedium confidence

Category: math.DS
Journal tier: Strong Field
Processed: Sep 28, 2025, 12:56 AM
arXiv Links: Abstract ↗PDF ↗

Audit review

The candidate solution mirrors the paper’s tract-with-wiggles construction, the Henderson-style crookedness criterion via the one-dimensional projection, model realisation to a disjoint-type entire function, tuning to achieve lower order 1/2, and a quasiconformal folding step yielding exactly two critical values and no finite asymptotic values with uniformly bounded local degrees. Any differences are minor (quantifier strength and a few implementation details) and do not alter the core argument, which is the same as the paper’s.

Referee report (LaTeX)

\textbf{Recommendation:} minor revisions

\textbf{Journal Tier:} strong field

\textbf{Justification:}

The candidate’s argument follows the paper’s structure and ideas very closely: an inductive tract-with-wiggles model forcing crookedness of the projection, model realisation, growth control to achieve lower order 1/2, and quasiconformal folding to the Speiser class with two critical values and bounded local degrees. Minor clarifications on quantifiers (crookedness criterion) and explicit references for the order-transfer step would improve precision, but there are no substantive deviations from the paper’s logic.