Completion of hyperspaces of compact subsets and topological completion of open-closed maps
نویسندگان
چکیده
منابع مشابه
Topological Requirements of Figural Completion
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We prove the following completion theorem for closed maps between metrizable spaces: Let f : X → Y be a closed surjection between metrizable spaces with e-dimf ≤ K, e-dimX ≤ LX and e-dimY ≤ LY for some countable CW -complexes K, LX and LY . Then there exist completions X̃ and Ỹ of X and Y , respectively, and a closed surjection f̃ : X̃ → Ỹ extending f such that e-dimf̃ ≤ K, e-dimX̃ ≤ LX and e-dimỸ ≤...
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چکیده ندارد.
15 صفحه اولThe completion of L-topological groups
The target in this paper, is to extend an L-topological group to a complete L-topological group, and so giving the notion of the completion of an L-topological group. In the way, we have introduced the notion of the completion of an L-uniform space.
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ژورنال
عنوان ژورنال: General Topology and its Applications
سال: 1974
ISSN: 0016-660X
DOI: 10.1016/0016-660x(74)90023-3