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On the representation of nonseparable analytic sets

On the representation of nonseparable analytic sets

Recently, the author considered extending the concepts of a Borel and analytic set for nonseparable metric spaces by allowing <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="sigma"> <mml:semantics> <mml:mi>σ<!-- σ --></mml:mi> <mml:annotation encoding="application/x-tex">\sigma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-discrete families to replace countable families in the classical definitions. The resulting class of “extended Borel sets” was …