Abstract: The descriptive theory of Borel sets is developed for a fairly general class of spaces. For a satisfactory theory it seems to be necessary to work with a Hausdorff space subject to the condition that each open set can be expressed as a countable union of closed sets. Under this condition it is shown that the descriptive Borel sets form a Borel ring of analytic absolutely Borel sets containing the compact sets. It is shown that a set in a metric space is descriptive Borel if and only if it is Lindelöf and absolutely Borel.
Publication Year: 1965
Publication Date: 1965-08-03
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 15
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