Countable dense homogeneous spaces under Martin's axiom (Q1121544)
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scientific article; zbMATH DE number 4103941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Countable dense homogeneous spaces under Martin's axiom |
scientific article; zbMATH DE number 4103941 |
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Countable dense homogeneous spaces under Martin's axiom (English)
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1989
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A separable space \(X\) is said to be CDH if for any two countable dense subsets \(A\) and \(B\) of \(X\) there is an autohomeomorphism \(f\) of \(X\) such that \(f(A)=B\). The authors discuss CDH subspaces of the reals under various versions of Martin's axiom. For example, it is shown that Martin's axiom for countable partial orders implies the existence of a Bernstein set which is CDH.
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CDH subspaces of the reals
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Martin's axiom
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Bernstein set
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