Every Contractible Fan is Locally Connected at its Vertex

DOI10.2307/1998009zbMath0455.54025OpenAlexW4243081039MaRDI QIDQ3903701

Lex G. Oversteegen

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998009

zbMATH Keywords

vertexcontractible fanlocally connected fanplanar fansufficient planarity condition

Mathematics Subject Classification ID

Continua and generalizations (54F15) Special maps on metric spaces (54E40) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Cites Work

• Fans and embeddings in the plane
• Homotopically fixed arcs and the contractibility of dendroids
• Everywhere oscillating functions, extension of the uniformization and homogeneity of the pseudo-arc
• On contractible dendroids
• A countable broom which cannot be imbedded in the plane
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