We give a characterization of u-extensions of topological T0-spaces and also of sober spaces using a new concept of a solimit point. It is shown that the sobrification of an arbitrary T0-space coincides with its greatest u-extension.
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Supported by RFBR, project No. 15-01-05114-a.
Translated from Algebra i Logika, Vol. 56, No. 4, pp. 443-452, July-August, 2017.
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Ershov, Y.L. Solimit Points and u-Extensions. Algebra Logic 56, 295–301 (2017). https://doi.org/10.1007/s10469-017-9450-9
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DOI: https://doi.org/10.1007/s10469-017-9450-9