A new definition of the circle by the use of bisectors
A. Berard, W. Nitka (1974)
Fundamenta Mathematicae
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A. Berard, W. Nitka (1974)
Fundamenta Mathematicae
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Dale Rolfsen (1970)
Fundamenta Mathematicae
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Tadeusz Rzeżuchowski (2012)
Open Mathematics
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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.
Warren White (1970)
Fundamenta Mathematicae
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Borkowski, Marcin, Bugajewski, Dariusz, Phulara, Dev (2010)
Fixed Point Theory and Applications [electronic only]
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Benjamin Miesch (2015)
Analysis and Geometry in Metric Spaces
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We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.
R. Duda (1970)
Fundamenta Mathematicae
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Edward Andalafte, Raymond Freese (1967)
Fundamenta Mathematicae
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A. Lelek, Jan Mycielski (1967)
Fundamenta Mathematicae
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