Geodesic
Borel Sets in Metric Spaces With Small Separable Subsets
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 471-475

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DOI

Let X be a metric space such that every separable subspace of X has size less than the continuum. We answer a question of D. H. Fremlin by showing that MA + ┐CH does not necessarily imply that every subset of X is analytic.
DOI : 10.4153/CMB-1987-069-8
Mots-clés : 54H05 
Daniels, P.; Gruenhage, G. Borel Sets in Metric Spaces With Small Separable Subsets. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 471-475. doi: 10.4153/CMB-1987-069-8
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     author = {Daniels, P. and Gruenhage, G.},
     title = {Borel {Sets} in {Metric} {Spaces} {With} {Small} {Separable} {Subsets}},
     journal = {Canadian mathematical bulletin},
     pages = {471--475},
     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-069-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-069-8/}
}
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