embedding measure spaces
نویسندگان
چکیده
for a given measure space $(x,{mathscr b},mu)$ we construct all measure spaces $(y,{mathscr c},lambda)$ in which $(x,{mathscr b},mu)$ is embeddable. the construction is modeled on the ultrafilter construction of the stone--v{c}ech compactification of a completely regular topological space. under certain conditions the construction simplifies. examples are given when this simplification occurs.
منابع مشابه
Embedding measure spaces
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification o...
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۰، شماره ۱، صفحات ۱۲۵-۱۵۵
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