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Abstract
We investigate in this paper the poidge-convexity, which is a generalization of right convexity, introduced by one of the present authors in 2014. Although not every convex body is poidge-convex, there are many families of compact sets, some of them very different from convex bodies, which are poidge-convex. We present here several such families.
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BW
Bo Wang
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P. R. China and: Hebei Key Laboratory of Computational Mathematics, Shijiazhuang, P. R. China
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P.R.China and: Hebei Int. Research Center, Mathematics and Interdisciplinary Science, Shijiazhuang, P.R.China
Fachbereich Mathematik, Universität Dortmund, Germany, Germany and: Romanian Academy, Bucharest, Romania and: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P.R.China