Geodesic
On an infinite dimensional generation of Borsuk's theorem on a boundless component
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 15-20.

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In this article we cite an infinite-dimensional generation of Borsuk’s classic theorem on a boundless component in case of a real separable Hilbert space $\mathrm{H}$. 
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E. A. Mirzakhanyan. On an infinite dimensional generation of Borsuk's theorem on a boundless component. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 15-20. http://geodesic.mathdoc.fr/item/UZERU_1989_3_a2/

[1] H. Stinrodi, S. Eilenberg, Osnovaniya algebraicheskoi topologii, Fizmatgiz, M., 1958

[2] V. G. Boltyanskii, “Ob odnom klasse otobrazhenii podmnozhestv gilbertova prostranstva”, Izv. AN Arm. SSR. Ser. matem., 9:2 (1974), 107–120 | MR | Zbl

[3] C. Leng, Vvedenie v teoriyu differentsiruemykh banakhovykh mnogoobrazii, Mir, M., 1967

[4] E. A. Mirzakhanyan, “Ob odnoi teoreme invariantnosti oblasti gilbertova prostranstva pri $K_0$-diffeomorfizmakh”, Uch. zapiski EGU, 1986, no. 2 | MR

[5] E. A. Mirzakhanyan, “O nekotorykh svoistvakh beskonechnomernykh gomotopicheskikh grupp podmnozhestv gilbertova prostranstva”, DAN ArmSSR, 79:1 (1984), 15–17 | MR | Zbl

[6] E. A. Mirzakhanyan, “O nekotorykh svoistvakh nepreryvno differentsiruemykh otobrazhenii podmnozhestv gilbertova prostranstva”, Uch. zap. EGU, 1986, no. 1 | MR

[7] E. A. Mirzakhanyan, “Ob odnom beskonechnomernom obobschenii teoremy Brauera o nepodvizhnoi tochke”, Uchen. zap. Erevansk. un-ta, 1987, no. 1, 14–17 | MR | Zbl