Solimit Points and u-Extensions


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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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Yu. Ershov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: ershov@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

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