Countable dense homogeneous spaces under Martin's axiom

DOI10.1007/BF02764858zbMath0674.54004WikidataQ114693405 ScholiaQ114693405MaRDI QIDQ1121544

Robert E. Beaudoin, Stewart L. Baldwin

Publication date: 1989

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

zbMATH Keywords

Martin's axiomBernstein setCDH subspaces of the reals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (11)

A homogeneous space whose complement is rigid ⋮ Analytic groups and pushing small sets apart ⋮ Open problems on countable dense homogeneity ⋮ Countable dense homogeneity and the double arrow space ⋮ Unnamed Item ⋮ The topology of ultrafilters as subspaces of \(2^{\omega }\) ⋮ Minimal obstructions for normal spanning trees ⋮ Countable dense homogeneity and the Baire property ⋮ Between Polish and completely Baire ⋮ Countable dense homogeneity of definable spaces ⋮ The real line in elementary submodels of set theory

Cites Work

• Unnamed Item
• Correction to: ``Martin's maximum, saturated ideals, and non-regular ultrafilters. I
• Set theory. An introduction to independence proofs
• Whitehead groups may not be free even assuming CH. II
• Homeomorphisms of Manifolds with Prescribed Behaviour on Large Dense Sets
• On Countably Compact, Perfectly Normal Spaces
• Countable dense homogeneous spaces

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