$\omega _\mu $-additive topological spaces

Giuliano Artico; Roberto Moresco

Displaying similar documents to “ $ω_{μ}$ -additive topological spaces”

Remarks on $ω_{μ}$ -additive spaces

Wang Shu-tang (1964)

Fundamenta Mathematicae

Similarity:

From finite to countable additivity

Maharam, Dorothy (1987)

Portugaliae mathematica

Similarity:

Decomposition of group-valued additive set functions

Tim Traynor (1972)

Annales de l'institut Fourier

Similarity:

Let $m$ be an additive function on a ring $H$ of sets, with values in a commutative Hausdorff topological group, and let $K$ be an ideal of $H$ . Conditions are given under which $m$ can be represented as the sum of two additive functions, one essentially supported on $K$ , the other vanishing on $K$ . The result is used to obtain two Lebesgue-type decomposition theorems. Other applications and the corresponding theory for outer measures are also indicated.