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arXiv · 1212.5666

Embedding measure spaces

M. R. Koushesh
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Abstract

For a given measure space $(X,{\mathscr B},μ)$ we construct all measure spaces $(Y,{\mathscr C},λ)$ in which $(X,{\mathscr B},μ)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--Čech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification occurs.

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M. R. Koushesh. 2012-12-22. Embedding measure spaces. https://arxiv.org/abs/1212.5666

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