A decomposition of \({\mathbb{R}}\) into two homeomorphic rigid parts

DOI10.1016/0166-8641(84)90048-8zbMath0538.54011OpenAlexW2025360206MaRDI QIDQ793379

Fons van Engelen

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0166-8641(84)90048-8

zbMATH Keywords

homogeneous spacesCantor sethomeomorphismreal lineautohomeomorhismdecomposition of the realsrigid supspaceseparable completely metrizable dense in itself space

Mathematics Subject Classification ID

Counterexamples in general topology (54G20) Maps and general types of topological spaces defined by maps (54C99)

Related Items (6)

A homogeneous space whose complement is rigid ⋮ Topological finiteness, Bernstein sets, and topological rigidity ⋮ Splitting Tychonoff cubes into homeomorphic and homogeneous parts ⋮ Sierpiński's technique and subsets of \(\mathbb{R}{}\) ⋮ Decomposing topological spaces into two rigid homeomorphic subspaces ⋮ Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

Cites Work

• Partitioning spaces into homeomorphic rigid parts
• Strong Local Homogeneity Does not Imply Countable Dense Homogeneity
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