CL(R) is simply connected under the Vietoris topology

• Esty, N.C. ^[1]
  1. [1] Marshall University

     Marshall University

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 8, Nº. 2, 2007, págs. 259-265
• Idioma: inglés
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• Resumen

  • 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.