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- W4293584242 abstract "We define a new structure on a space endowed with convexities, and call it a fractoconvex structure (or, a space with fractoconvexity). We introduce two operations on a set of fractoconvexities and in a special case we show that they satisfy the laws for a distributive lattice. We establish a connection between fractoconvex sets and convex sets using the concept of independent convexities, based on the possibility of representing a fractoconvex set as the intersection of its convex hulls. Finally, we consider some examples of fractoconvexities on the 2-sphere and on $mathbb Z$." @default.
- W4293584242 created "2022-08-30" @default.
- W4293584242 creator A5045462880 @default.
- W4293584242 date "2017-10-11" @default.
- W4293584242 modified "2023-09-23" @default.
- W4293584242 title "Fractoconvex structures" @default.
- W4293584242 doi "https://doi.org/10.48550/arxiv.1710.04263" @default.
- W4293584242 hasPublicationYear "2017" @default.
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