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Partial \(n\)-point sets and zero-dimensionality

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Publication:1873302
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DOI10.1016/S0166-8641(02)00111-6zbMath1028.54013MaRDI QIDQ1873302

Attilio Le Donne

Publication date: 20 May 2003

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


zbMATH Keywords

zero-dimensionality\(n\)-point sets


Mathematics Subject Classification ID

Subspaces in general topology (54B05) Dimension theory in general topology (54F45) Counterexamples in general topology (54G20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)


Related Items (1)

Dimensions of strong \(n\)-point sets




Cites Work

  • Unnamed Item
  • On the structure of \(n\)-point sets
  • A Four-Point Set That Cannot Be Split
  • ON SETS THAT MEET EVERY HYPERPLANE IN n-SPACE IN AT MOST n POINTS
  • A Two-Point Set Must be Zero-Dimensional
  • Generic Partial Two-Point Sets Are Extendable
  • No 𝑛-point set is 𝜎-compact
  • Every three-point set is zero dimensional
  • A Problem of Incidence
  • Three-point sets
  • Connectedness properties of special subsets of the plane




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