Geodesic
Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 49-52 
B. B. Bednov. Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 49-52. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a8/
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     title = {Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body},
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     pages = {49--52},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An example of an antiproximinal but not 2-antiproximinal convex closed bounded body is constructed in the space $\bf{c}_0$ endowed with Day's norm.

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