Every three-point set is zero dimensional

DOI10.1090/S0002-9939-03-06432-3zbMath1023.54014OpenAlexW1562959011MaRDI QIDQ4804075

L. Fearnley, David L. Fearnley, Jack W. Lamoreaux

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06432-3

zbMATH Keywords

zero-dimensional\(n\)-point setthree-point set

Mathematics Subject Classification ID

Subspaces in general topology (54B05) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (7)

Dimensions of strong \(n\)-point sets ⋮ Partial \(n\)-point sets and zero-dimensionality ⋮ On the structure of \(n\)-point sets ⋮ Homeomorphisms of two-point sets ⋮ There are no n-point F_σ sets in R^m ⋮ Rim-finite, arc-free subsets of the plane ⋮ On the dimension of \(n\)-point sets

Cites Work

• A Two-Point Set Must be Zero-Dimensional
• Three-point sets
• Unnamed Item

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