Geodesic
Solimit points and $u$-extensions
Algebra i logika, Tome 56 (2017) no. 4, pp. 443-452

Voir la notice de l'article provenant de la source Math-Net.Ru

We give a characterization of $u$-extensions of topological $T_0$-spaces and also of sober spaces using a new concept of a solimit point. It is shown that the sobrification of an arbitrary $T_0$-space coincides with its greatest $u$-extension.
Mots-clés : solimit point, sobrification.
Keywords: topological $T_0$-space, sober space 
@article{AL_2017_56_4_a3,
     author = {Yu. L. Ershov},
     title = {Solimit points and $u$-extensions},
     journal = {Algebra i logika},
     pages = {443--452},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_4_a3/}
}
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Yu. L. Ershov. Solimit points and $u$-extensions. Algebra i logika, Tome 56 (2017) no. 4, pp. 443-452. http://geodesic.mathdoc.fr/item/AL_2017_56_4_a3/