Publication: Ball versus distance convexity of metric spaces
Ball versus distance convexity of metric spaces
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Foertsch, T. (2004). Ball versus distance convexity of metric spaces. Beiträge Zur Algebra Und Geometrie, 45, 481–500. http://www.emis.de/journals/BAG/vol.45/no.2/11.html
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We consider two different notions of convexity of metric spaces, namely (strict/uniform) ball convexity and (strict/uniform) distance convexity. Our main theorem states that (strict/uniform) distance convexity is preserved under a fairly general product construction, whereas we provide an example which shows that the same does not hold for (strict/uniform) ball convexity, not even when considering the Euclidean product.
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- Foertsch, T
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Foertsch, T. (2004). Ball versus distance convexity of metric spaces. Beiträge Zur Algebra Und Geometrie, 45, 481–500. http://www.emis.de/journals/BAG/vol.45/no.2/11.html
