Persons: Prishlyak, Alexander Olegovich

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Prishlyak, Alexander Olegovich

Associate professor

Candidate of physico-mathematical sciences (1994)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

20.01.1969

E-mail:

Keywords:

Morse function; Morse–Smale flow.

Main publications:

Topological equivalence of smooth functions with isolated critical points on a closed surface // Topology and its application, 2002, v. 119, no. 3.
Equivalence of Morse function on 3-manifolds // Methods of Func. Ann. and Topology, 1999, v. 5, no. 3, p. 49?53.

	Publications in Math-Net.Ru	Citations
	2019
1.	Bohdana Hladysh, Alexandr Prishlyak, “Simple Morse functions on an oriented surface with boundary”, Zh. Mat. Fiz. Anal. Geom., 15:3 (2019), 354–368	4
	2017
2.	Bohdana I. Hladysh, Aleksandr O. Prishlyak, “Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold”, SIGMA, 13 (2017), 050, 17 pp.	9
	2013
3.	Alexander Prishlyak, Elena Vyatchaninova, “Minimal $m$-handle decomposition of three-dimensional handlebodies”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3, 106–110
	2005
4.	A. O. Prishlyak, “Complete topological invariants of Morse–Smale flows and handle decompositions of 3-manifolds”, Fundam. Prikl. Mat., 11:4 (2005), 185–196 ; J. Math. Sci., 144:5 (2007), 4492–4499	13
	2003
5.	A. O. Prishlyak, “On sum of indices of flow with isolated fixed points on a stratified sets”, Mat. Fiz. Anal. Geom., 10:1 (2003), 106–115
	2002
6.	A. O. Prishlyak, “Morse–Smale Vector Fields without Closed Trajectories on 3-Manifolds”, Mat. Zametki, 71:2 (2002), 254–260 ; Math. Notes, 71:2 (2002), 230–235	14
	2001
7.	A. O. Prishlyak, “Conjugacy of Morse functions on 4-manifolds”, Uspekhi Mat. Nauk, 56:1(337) (2001), 173–174 ; Russian Math. Surveys, 56:1 (2001), 170–171	1
	1997
8.	A. O. Prishlyak, “On graphs embedded in a surface”, Uspekhi Mat. Nauk, 52:4(316) (1997), 211–212 ; Russian Math. Surveys, 52:4 (1997), 844–845	5

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