Prefer a chat interface with context about you and your work?
Continua Whose Cone and Hyperspace are Homeomorphic
Let X be a (nonempty) metric continuum. By the hyperspace of X we mean $C(X) = \{ A$: A is a nonempty subcontinuum of $X\}$ with the Hausdorff metric H. It is determined that there are exactly eight hereditarily decomposable continua X such that the cone over X is homeomorphic …