Connectedness properties of special subsets of the plane

DOI10.1016/S0166-8641(00)00117-6zbMath0996.54031MaRDI QIDQ5957274

Alessandro Fedeli, Attilio Le Donne, Gary Gruenhage

Publication date: 6 November 2002

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

zbMATH Keywords

arcgraphtwo-point set

Mathematics Subject Classification ID

Subspaces in general topology (54B05) Connected and locally connected spaces (general aspects) (54D05) Dimension theory in general topology (54F45) Topology of special sets defined by functions (54C50)

Related Items (3)

Partial \(n\)-point sets and zero-dimensionality ⋮ \(n\)-point sets and graphs of functions ⋮ A Cantor set in \(\mathbb R^d\) with ``large projections

Cites Work

• Darboux continuity
• Discontinuous Functions with the Darboux Property
• A Two-Point Set Must be Zero-Dimensional
• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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