Path-Connectedness of the Hyperspace of Compact Subsets of ${\mathbb{R}}^n$

Bryant Rosado Silva, Rodney Josué Biezuner

When one considers the collection $\mathcal{H}({\mathbb{R}}^n)$ of all compact subsets of ${\mathbb{R}}^n$ and equip it with a topology, many questions can be asked about the topologic…