Topologies on the generalized plane
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2014), pp. 8-12.

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In this paper the topologies arising on the generalized plane $\Delta$ and its subsets are considered and their comparisons are investigated.
Keywords: topological groups, Pontryagin duality, covering mappings.
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A. F. Beknazaryan. Topologies on the generalized plane. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2014), pp. 8-12. http://geodesic.mathdoc.fr/item/UZERU_2014_3_a1/

[1] R. Arens, I.M. Singer, “Generalized Analytic Functions”, Trans. Amer. Math. Soc., 81:2 (1956), 379–393 | DOI | MR | Zbl

[2] S.A. Grigoryan, “Generalized Analytic Functions”, Uspekhi Mat. Nauk, 49:2 (1994), 3–43 (in Russian) | MR

[3] S.A. Grigoryan, “The Divisor of a Generalized Analytic Function”, Math. Notes, 61:5 (1997), 655–661 (in Russian) | MR | Zbl

[4] S.A. Morris, Pontryagin Duality and the Structure of Locally Compact Abelian Groups, Russian translation, Mir, M., 1980 | MR | Zbl

[5] R. Engelking, General Topology, Russian translation, Mir, M., 1986 | MR

[6] O. Forster, Riemann Surfaces, Russian translation, Mir, M., 1980 | MR