In the theory of hyperspaces it is very useful to have a geometric idea of what they look like. Since they are defined as certain classes of subsets of a given space, this task is not easy. For this reason, we try to construct models of them. In this chapter we survey everything that is known about modeling hyperspaces.

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Models of Hyperspaces

  • Alejandro Illanes

摘要

In the theory of hyperspaces it is very useful to have a geometric idea of what they look like. Since they are defined as certain classes of subsets of a given space, this task is not easy. For this reason, we try to construct models of them. In this chapter we survey everything that is known about modeling hyperspaces.