Expansive Minimal Flows

The uploaded paper proves Theorem A: every non-trivial minimal expansive flow on a compact metric space has topological dimension one, and such a flow is minimal and expansive if and only if it is a suspension of a minimal subshift. The proof proceeds by showing that any spiral point has a periodic orbit in its ω-limit set (Theorem 3.1), which excludes spiral points in the minimal, non-periodic case; then it invokes the Keynes–Sears dimension theorem to get dim(X)=1, and finally uses Bowen–Walters’ theorems to obtain the suspension classification. These exact steps appear explicitly in the paper’s “Proof of Theorem A” and surrounding discussion, including the reliance on [8, Theorems 6 and 10] and [16, Theorem 3.6] (Keynes–Sears). The candidate solution outlines the same argument: (i) exclude spiral points via the spiral→periodic-orbit implication, (ii) apply Keynes–Sears to deduce dimension one, and (iii) classify via Bowen–Walters. The only presentational nit is that the candidate should explicitly separate the periodic-orbit minimal case (already dimension one) before asserting “no spiral points,” which the paper does. Otherwise, the logic and cited ingredients agree with the paper’s method and conclusions (see Theorem A and its proof, and Theorem 3.1 in the PDF).