Geodesic
A~criterion for points to belong to the same Gleason part of the algebra~$R(X)$
Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1109-1117

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In this paper necessary and sufficient conditions in terms of analytic capacity are found in order that two points of a compact set $X$ belong to the same Gleason part of the algebra $R(X)$. Bibliography: 9 titles. 
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     author = {M. S. Mel'nikov},
     title = {A~criterion for points to belong to the same {Gleason} part of the algebra~$R(X)$},
     journal = {Izvestiya. Mathematics },
     pages = {1109--1117},
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     volume = {11},
     number = {5},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a10/}
}
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M. S. Mel'nikov. A~criterion for points to belong to the same Gleason part of the algebra~$R(X)$. Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1109-1117. http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a10/