Rim-finite, arc-free subsets of the plane

DOI10.1016/S0166-8641(01)00254-1zbMath1021.54009MaRDI QIDQ1862066

John Kulesza, Jay Schweig

Publication date: 10 March 2003

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

zbMATH Keywords

dimension\(n\)-point setGM setrim-finite set

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Subspaces in general topology (54B05) Special properties of topological spaces (54F99) Dimension theory in general topology (54F45)

Related Items

Dimensions of strong \(n\)-point sets ⋮ Open problems in topology. ⋮ Positive integers \(n\) which allow non-zero-dimensional, arc-free rim-\(n\) separable metric spaces

Cites Work

• On the structure of \(n\)-point sets
• A Two-Point Set Must be Zero-Dimensional
• The Hahn-Mazurkiewicz theorem for rim-finite continua
• Every three-point set is zero dimensional
• Three-point sets
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