Email this article Solimit Points and u-Extensions
- Authors: Ershov Y.L.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 56, No 4 (2017)
- Pages: 295-301
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234045
- DOI: https://doi.org/10.1007/s10469-017-9450-9
- ID: 234045
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Abstract
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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About the authors
Yu. L. Ershov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: ershov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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