The hyperspace of convergent sequences

DOI10.1016/J.TOPOL.2015.05.022zbMath1335.54013OpenAlexW425900997MaRDI QIDQ898517

Salvador García-Ferreira, Yasser Ferman Ortiz-Castillo

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.022

zbMATH Keywords

connectednessVietoris topologyBaire propertyhyperspaces of convergent sequences

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Metric spaces, metrizability (54E35) Baire category, Baire spaces (54E52) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Connected and locally connected spaces (general aspects) (54D05)

Related Items (11)

The Baire property on the hyperspace of nontrivial convergent sequences ⋮ Induced mappings on the hyperspace of convergent sequences ⋮ MORE ON FRÉCHET–URYSOHN IDEALS ⋮ Connectedness like properties on the hyperspace of convergent sequences ⋮ Contractibility of the hyperspace of sequences, harmonic fan ⋮ \(R^4\)-continua and pseudo-contractibility ⋮ 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 ⋮ Unnamed Item

Cites Work

• On spaces of closed subsets
• CL(R) is simply connected under the Vietoris topology
• Paths in hyperspaces
• Arcs in Hyperspaces Which Are Not Compact
• Topologies on Spaces of Subsets

This page was built for publication: The hyperspace of convergent sequences