An example relating the coarse and weak shape (Q346988)

The coarse-shape and weak-shape theories were introduced by \textit{N. Koceić Bilan} and the author [Glas. Mat., III. Ser. 42, No. 1, 145--187 (2007; Zbl 1131.55005)] and the author and \textit{B. Červar} [Int. J. Pure Appl. Math. 39, No. 3, 363--428 (2007; Zbl 1142.55008)], respectively. The coarse shape theory is finer than the weak-shape theory. The notions of coarse-shape-path and weak-shape-path connectedness, which were introduced by \textit{N. Koceić Bilan} and the author [Glas. Mat., III. Ser. 46, No. 2, 489--503 (2011; Zbl 1236.55017)], are coarse-shape and weak-shape invariants, respectively. In the paper under review, the author constructs a continuum that is not coarse-shape-path connected. This implies that the coarse shape theory is strictly finer than the weak-shape theory.