Embedding in R-closed spaces
نویسندگان
چکیده
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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1. Haefliger reduced the question of embedding manifolds in the Euclidian space R to a homotopy problem in [ö]. Since then it has been of some interest to find examples of ^-manifolds which embed in R~ for a given k. In particular great effort has been spent studying embeddings of the various projective spaces. However, the k that were thus obtained were in no cases larger than 5 or 6 (see for ...
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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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It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1983
ISSN: 0166-8641
DOI: 10.1016/0166-8641(83)90046-9