Geodesic
Decomposable $n$-continuous mappings
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 66-68.

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In this paper, we introduce the concept of a decomposable $n$-continuous mapping, which is a generalization of the concept of a continuous mapping. We prove that decomposable $n$-continuous mappings preserve such topological invariants as the separability, the Lindelöf property, and the presence of a countable net. We also prove that a decomposable $n$-continuous mapping of a space with a countable base onto a compact Hausdorff space preserves the metrizability.
Keywords: continuity, Lindelöf property, separability, metrizability. 
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S. M. Komov. Decomposable $n$-continuous mappings. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 66-68. http://geodesic.mathdoc.fr/item/INTO_2023_223_a5/

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