The aim is to construct a universal set for summable ideals and study its topological attributes.
Constructed a universal set in the form of ω^ω × 2^ω
Investigated Borel complexity of the constructed set
Analyzed topological properties like meagerness and σ-porosity
Demonstrated the relationship between the universal set and summable ideals
Identified key topological properties including meagerness and σ-porosity
Revealed complexities associated with Borel classification in ideal theory
Abstract
Abstract We build a universal set in ω ω × 2 ω ^{ 2^} for the family of summable ideals. We investigate its Borel complexity and topological properties, such as meagerness and σ-porosity.