This work builds a universal set for summable ideals, revealing its Borel complexity and topological properties.
We build a universal set in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msup> <m:mi>ω</m:mi> <m:mi>ω</m:mi> </m:msup> <m:mo>×</m:mo> <m:msup> <m:mn>2</m:mn> <m:mi>ω</m:mi> </m:msup> </m:mrow> </m:math> {ωω× 2ω} for the family of summable ideals. We investigate its Borel complexity and topological properties, such as meagerness and σ-porosity.
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Klinga et al. (2026) studied this question.
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