On dimension and metrization
Nagata, J.
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Nagata, J.
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International Journal of Mathematics and Mathematical Sciences
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We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.
Tomonari Suzuki, Badriah Alamri, Misako Kikkawa (2015)
Open Mathematics
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We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
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