Sergey Nikitin
7 Papers
6 Citations
Sergey Nikitin is an academic researcher. The author has contributed to research in topics: Manifold & Range (mathematics). The author has an hindex of 2, co-authored 7 publications.
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Papers
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On 3-manifolds
TL;DR: In this paper, the boundary of a polyhedron P with boundary faces identified in pairs was studied and it was shown that (P)/~ is a finite number of internally flat complexes attached to each other along the edges of a finite graph that contains at least one closed circuit.
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Generalized Persistency of Excitation
TL;DR: The paper presents the generalized persistency of excitation conditions, which are valid for much broader range of applications than their classical counterparts but also elegantly prove the validity of the latter.
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Generalized persistency of excitation
TL;DR: In this article, the generalized persistency of excitation conditions has been studied for much broader range of applications than their classical counterparts and elegantly prove the validity of the latter. But the novelty and significance of the approach presented in this publication is due to employing the time averaging technique.
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Proof of the Poincare' conjecture
TL;DR: In this paper, it was shown that any compact, closed, simply connected, and connected three dimensional stellar manifold is stellar equivalent to the three dimensional sphere, which is the case for any manifold.
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On a stellar structure for a stellar manifold
TL;DR: In this article, it was shown that a compact two-dimensional surface is homeomorphic to a polygon with the edges identified in pairs, and this is generalized to any connected n-dimensional stellar manifold with a finite number of vertices.