Connectedness like properties on the hyperspace of convergent sequences

DOI10.1016/j.topol.2017.08.024zbMath1379.54003arXiv1510.03788OpenAlexW2963573708MaRDI QIDQ2405104

R. Rojas-Hernández, Salvador García-Ferreira

Publication date: 21 September 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03788

zbMATH Keywords

connectednesshyperspacenontrivial convergent sequencepath-wise connectedness

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Connected and locally connected spaces (general aspects) (54D05)

Related Items (6)

The Baire property on the hyperspace of nontrivial convergent sequences ⋮ Contractibility of the hyperspace of sequences, harmonic fan ⋮ Unnamed Item ⋮ Path connectedness, local path connectedness and contractibility of $\mathcal{S}_c(X)$ ⋮ Unnamed Item ⋮ A note on hyperspaces by closed sets with Vietoris topology

Cites Work

• The hyperspace of convergent sequences
• A note on joint metrizability of spaces on families of subspaces
• Topologies on Spaces of Subsets
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