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Constructing universally small subsets of a given packing index in Polish groups

Taras Banakh, Nadya Lyaskovska (2011)

Colloquium Mathematicae

A subset of a Polish space X is called universally small if it belongs to each ccc σ-ideal with Borel base on X. Under CH in each uncountable Abelian Polish group G we construct a universally small subset A₀ ⊂ G such that |A₀ ∩ gA₀| = for each g ∈ G. For each cardinal number κ ∈ [5,⁺] the set A₀ contains a universally small subset A of G with sharp packing index p a c k ( A κ ) = s u p | | : g A g G i s d i s j o i n t equal to κ.

Constructions of thin-tall Boolean spaces.

Juan Carlos Martínez (2003)

Revista Matemática Complutense

This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose Cantor-Bendixson height has cardinality greater than their Cantor-Bendixson width.

Contents

(1967)

General Topology and its Relations to Modern Analysis and Algebra

Contents

(1977)

General topology and its relations to modern analysis and algebra IV

Contents

(1962)

General Topology and its Relations to Modern Analysis and Algebra

Contents

(1977)

General topology and its relations to modern analysis and algebra IV

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