Countable dense homogeneous spaces under Martin's axiom
type: Item
instance of: scholarly article
title: Countable dense homogeneous spaces under Martin's axiom
zbMATH Open document ID: 0674.54004
DOI: 10.1007/BF02764858
author: Robert E. Beaudoin
author: Stewart Baldwin
published in: Israel Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 03E50
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 4103941
zbMATH Keywords: CDH subspaces of the reals
zbMATH Keywords: Martin's axiom
zbMATH Keywords: Bernstein set
reviewed by: A. Szymański
Wikidata QID: Q114693405
MaRDI profile type: Publication
cites work: Q4742784
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description: scientific article; zbMATH DE number 4103941