Local and Global Suns

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

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Publication Details

Journal
Russian Journal of Mathematical Physics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1061920824040150
Citations
4
Primary Topic
Impact of Light on Environment and Health
Type
article
Field-Weighted Citation Impact
1.13
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article

Local and Global Suns

Игорь Германович Царьков
4 citations
Russian Journal of Mathematical Physics
Impact of Light on Environment and Health
1.13
article

Local and Global Suns

Игорь Германович Царьков
article en
4 citations

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

Russian Journal of Mathematical PhysicsVol. 31(4)
Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU)
Openalex Percentile: Top 22%
Impact of Light on Environment and Health
1.13
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