Geodesic
Spaces with limit operation
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2005), pp. 5-10 
V. S. Atabekyan. Spaces with limit operation. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2005), pp. 5-10. http://geodesic.mathdoc.fr/item/UZERU_2005_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this work the space $(X, \Lambda)$ with limit operation (constructed by I. G. Khachatryan) is studied with the help of non-standard models. With the help of nonstandard extensions are described the complete systems of neighbourhood of $(X, \Lambda)$, the open and closed sets, the convergence, the limit points of the set, the spaces as well as separation spaces.

[1] I.G. Khachatryan, Prostranstva s operatsiei predela, Izd-vo EGU, Erevan, 1999

[2] R.A. Aleksandryan, E.A. Mirzakhanyan, Obschaya topologiya, Vyssh. shkola, Moskva, 1979

[3] M. Devis, Prikladnoi nestandartnyi analiz, Mir, Moskva, 1980 | MR

[4] A. Robinson, Vvedenie v teoriyu modelei i metamatematiku algebry, Nauka, Moskva, 1967 | MR

[5] Dzh. L. Kelli, Obschaya topologiya, Nauka, Moskva, 1981 | MR