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Local and Global Suns

  • I.G. Tsar’kov

摘要

Abstract

Properties of local and global suns and protosuns are studied. In particular, we investigate properties of a space and a set under which the local solarity of the set implies its global solar properties. It is shown that, in CLUR-spaces, a segmented Chebyshev local sun is a sun. In particular, a Chebyshev local sun composed of an at most countable family of convex existence sets is a sun.

DOI 10.1134/S1061920824040150