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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     author = {E. A. Mirzakhanyan},
     title = {On an infinite dimensional generation of {Borsuk's} theorem on a boundless component},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {15--20},
     publisher = {mathdoc},
     number = {3},
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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/