Induced maps on n-fold hyperspace suspensions

In [11], the hyperspace suspension of a continuum was introduced, and it was shown that it has the fixed point property for the class of chainable continua. In [4], a more detailed study of the hyperspace suspension of continua was done, and in [7], n-fold hyperspace suspensions were introduced and studied. As was done with hyperspaces (see, for example, [10], [5], and [2]), it is natural to study the induced maps on the n-fold hyperspace suspensions. In section 2, we give the necessary definitions for the paper. In section 3, we present the main theorems of the paper and pose some questions.