On embedding uniform and topological spaces
نویسندگان
چکیده
منابع مشابه
Uniform Approximation of Topological Spaces
We sharpen the notion of a quasi-uniform space to spaces which carry with them functional means of approximating points, opens and compacts. Assuming nothing but sobriety, the requirement of uniform approximation ensures that such spaces are compact ordered (in the sense of Nachbin). We study uniformly approximated spaces with the means of topology, uniform topology, order theory and locale the...
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Let L be a real (Hausdorff) topological vector space. The space %[L] of nonempty compact subsets of L forms a (Hausdorff) topological semivector space with singleton origin when 3C[L] is given the uniform (equivalently, the finite) hyperspace topology determined by L. Then %[L] is locally compact iff L is so. Furthermore, 90.[Z,], the set of nonempty compact convex subsets of L, is the largest ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1956
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1956.6.397