CL(R) is simply connected under the Vietoris topology
DOI:
https://doi.org/10.4995/agt.2007.1891Keywords:
Hyperspace, Vietoris topology, Simply connected, Path connected, Time scalesAbstract
In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales. We also present a construction of the (known) fact that this hyperspace is also path connected, as part of the proof.
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