Concerning k-mutual aposyndesis in symmetric products

Concerning n-mutual aposyndesis in hyperspaces

“…Generalizing the main result of [6], recently, A. Illanes and J. M. Martínez-Montejano ( [4]) have shown that for each n ≥ 2 and m ≥ 3, F m (X) is nmutually aposyndetic. H. Hosokawa ([2, Theorem 2.4]) has proved that, for each m ≥ 2, the hyperspace C m (X) is mutually aposyndetic, the following question arises naturally: Question 1.1.…”