We end the chapter proving that hereditarily indecomposable continua have unique n-fold hyerpsace suspensions. We study absolute n-fold hyperspace suspensions. who rekindled my interest in hyperspaces through several conversations and a lively correspondence. Hyperspaces of Sets: A Text with Research Questions, 1st ed. We present sufficient conditions to obtain that n-fold hyperspace suspensions have the fixed point property. An example of this is the study of hyperspaces. We present necessary or sufficient conditions in order to have that n-fold hyperspace suspensions are homeomorphic to a cone, suspension or product of continua. We give properties of points that arcwise disconnect these spaces. In particular, we characterize the arc as the only continuum for which its n-fold hyperspace suspensions are cells. We present results of local connectedness. We give sufficient conditions to have the n-fold hyperspace suspensions are contractible. We prove that n-fold hyperspace suspensions are zero-dimensional aposyndetic. Nadler, Jr., Hyperspaces of sets, Monographs and Textbooks in Pure and Applied Math., Vol. We show that the n-fold hyperspace suspension of a continuum has the same dimension as the n-fold hyperspace of the continuum. introduced the hyperspace suspension of a continuum to present examples of disk-like continua with the fixed point property. Presents hyperspace fundamentals, offering a basic overview and a foundation for further study.

Kuratowski nadler hyperspaces