Decomposing topological spaces into two rigid homeomorphic subspaces

DOI10.1007/BF02765038zbMath0683.54026OpenAlexW2080288002MaRDI QIDQ1824895

Saharon Shelah

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02765038

zbMATH Keywords

partitionrigid sets

Mathematics Subject Classification ID

Subspaces in general topology (54B05) Quotient spaces, decompositions in general topology (54B15) 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 \(\mathbb{R}{}\) ⋮ A construction of topological spaces rigid for continuous onto maps -- an application of Shelah's lemma ⋮ Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

Cites Work

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

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