
with
Iryna Kuznietsova,
Deformational symmetries of smooth functions on nonorientable surfaces
Topological Methods in Nonlinear Analysis, to appear (2024)
31 pages

Homotopy types of diffeomorphism groups of polar MorseBott foliations on lens spaces, 2
Journal of Homotopy and Related Structures, 19 (2024)
239273

Topological actions of wreath products
European Journal of Mathematics, 10 (2024)
21, 34 pages

Diffeomorphism groups of MorseBott foliation on the solid Klein bottle by Klein bottles parallel to the boundary
Transactions of Institute of Mathematics, the NAS of Ukraine  Modern problems of mathematics and its applications, III, 20, no. 1 (2023)
896910

with
Oleksandra Khokhliuk,
Homotopy types of diffeomorphism groups of polar MorseBott foliations on lens spaces, 1
Journal of Homotopy and Related Structures, 18 (2023)
313356

with
Oleksii Nikitchenko,
Fundamental groupoids and homotopy types of noncompact surfaces
book chapter in 'Groups, Invariants, Integrals, and Mathematical Physics', The Wisła 2021 Winter School and Workshop (2022)
155175

with
Eugene Polulaykh,
Homeotopy groups of leaf spaces of onedimensional foliations on noncompact surfaces with noncompact leaves
Proceedings of the International Geometry Center, 14, no. 4 (2021)
271290

Deformations of functions on surfaces
Proceedings of Institute of Mathematics of NAS of Ukraine, 17, no. 2 (2020)
150199

with
Iryna Kuznietsova,
Reversing orientation homeomorphisms of surfaces
Proceedings of the International Geometry Center, 13, no. 4 (2020)
179209

with
Oleksandra Khokhliuk,
Smooth approximations and their applications to homotopy types
Proceedings of the International Geometry Center, 13, no. 2 (2020)
68108

Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
Topology and its Applications, 282 (2020)
107312

with
Anna Kravchenko,
Automorphisms of cellular divisions of 2sphere induced by functions with isolated critical points
Journal of Mathematical Physics, Analysis, Geometry, 16, no. 2 (2020)
138168

with
Oleksandra Khokhliuk,
Diffeomorphisms preserving MorseBott functions
Indagationes Mathematicae, 31, no. 2 (2020)
185203

with
Anna Kravchenko,
Automorphisms of KronrodReeb graphs of Morse functions on compact surfaces
European Journal of Mathematics, 6 (2020)
114131

with
Olena Karlova,
The first homotopic Baire class of maps with values in ANR's coincides with the first Baire class
Journal of Mathematical Analysis and Applications, 482, no. 2 (2020)
123561

with
Iryna Kuznietsova,
Homotopy properties of smooth functions on the Möbius band
Proceedings of the International Geometry Center, 12, no. 3 (2019)
129

with
Anna Kravchenko,
Automorphisms of KronrodReeb graphs of Morse functions on 2sphere
Proceedings of the International Geometry Center, 11, no. 4 (2018)
7279

with
Alexandra Antoniouk,
Contractibility of manifolds by means of stochastic flows
Topological Methods in Nonlinear Analysis, 52, no. 2 (2018)
599611

Symplectomorphisms of surfaces preserving a smooth function, I
Topology and its Applications, 235 (2018)
275289

with
Eugene Polulyakh,
Characterization of striped surfaces
Proceedings of the International Geometry Center, 10, no. 2 (2017)
2238

with
Eugene Polulyakh,
Yuliya Soroka,
Homeotopy groups of onedimensional foliations on surfaces
Proceedings of the International Geometry Center, 10, no. 1 (2017)
2246

with
Eugene Polulyakh,
Onedimensional foliations on topological manifolds
Proceedings of the International Geometry Center, 9, no. 2 (2016)
123

with
Eugene Polulyakh,
Foliations with all nonclosed leaves on noncompact surfaces
Methods of Functional Analysis and Topology, 22, no. 3 (2016)
266282

with
Oksana Marunkevych,
Topological stability of continuous functions with respect to averagings
Ukrainian Mathematical Journal, 68, no. 5 (2016)
625633

with
Oksana Marunkevych,
Topological stability of continuous functions with respect to averaging by measures with locally constant densities
Proceedings of Intsitute of Mathematics of NAS of Ukraine, 12, no. 6 (2015)
146163

with
Eugene Polulyakh,
Foliations with noncompact leaves on surfaces
Proceedings of the International Geometry Center, 8, no. 34 (2015)
1730

with
Karsten Keller and Inga Stolz,
Entropy determination based on the ordinal structure of a dynamical system
Discrete and Continuous Dynamical Systems  Series B (DCDSB), 20, no. 10 (2015)
35073524

with
Bogdan Feshchenko,
Orbits of smooth functions on 2torus and their homotopy types
Matematychni Studii, 44, no. 1 (2015)
6783

with
Bogdan Feshchenko,
Smooth functions on 2torus whose KronrodReeb graph contains a cycle
Methods Funct. Anal. Topology, 21, no. 1 (2015)
2240

with
Bogdan Feshchenko,
Homotopy properties of spaces of smooth functions on 2torus
Ukrainian Mathematical Journal, 66, no. 9 (2014)
12051212

with
Alexandra Antoniouk and Karsten Keller,
KolmogorovSinai entropy via separation properties of ordergenerated σalgebras
Discrete and Continuous Dynamical Systems  Series A (DCDSA), 34, no. 5 (2014)
17931809

Homotopy types of right stabilizers and orbits of smooth functions on surfaces
Ukrainian Mathematical Journal, 64, no. 9 (2012)
11861203

Local inverses of shift maps along orbits of flows
Osaka Journal of Mathematics, 48, no. 2 (2011)
415455

Deformations of circlevalued Morse functions on surfaces
Ukrainian Mathematical Journal, 62, no. 10 (2011)
13601366

Image of a shift map along the orbits of a flow
Indiana University Mathematics Journal, 59, no. 5 (2010)
15871628

Functions with isolated singularities on surfaces
In Proceeding of Institute of Mathematics of NAS of Ukraine 'Geometry and topology of manifolds', 7, no. 4 (2010)
766

Period functions for C^{0} and C^{1} flows
Ukrainian Mathematical Journal, 62, no. 7 (2010)
954967

Kernel of a map of a shift along the orbits of continuous flows
Ukrainian Mathematical Journal, 62, no. 5 (2010)
651659

Symmetries of center singularities of plane vector fields
Nonlinear Oscillations, 13, no. 2 (2010)
177205

Functions on surfaces and incompressible subsurfaces
Methods of Functional Analysis and Topology, 16, no. 2 (2010)
167182

Symmetries of degenerate center singularities of plane vector fields
Nonlinear Oscillations, 12, no. 4 (2009)
507526

Functions with homogeneous singularities on surfaces
Reports of NAS of Ukraine, 8 (2009)
2023

Reparametrizations of vector fields and their shift maps
Proceedings of Intsitute of Mathematics of NAS of Ukriane, 6, no. 2 (2009)
489498

Connected components of partition preserving diffeomorphisms
Methods of Functional Analysis and Topology, 15, no. 3 (2009)
264279

∞jets of diffeomorphisms preserving orbits of vector fields
Central European Journal of Mathematics, 7, no. 2 (2009)
272298

Homotopy dimension of orbits of Morse functions on surfaces
Travaux Mathematiques, 18 (2008)
3944

Hamiltonian vector fields of homogeneous polynomials in two variables
Topological problems and relative questions. Proceedings of Institute of Mathematics of Ukrainian NAS, 3, no. 3 (2006)
269308

Consecutive shifts along orbits of vector fields
Proceedings of the Conference 'Foliations2005', (Ploand, Lodz, 2005), World Scientific, Singapore (2006)
327340

Stabilizers and orbits of smooth functions
Bulletin des Sciences Mathematiques, 130 (2006)
279311

Homotopy types of stabilizers and orbits of Morse functions on surfaces
Annals of Global Analysis and Geometry, 29, no. 3 (2006)
241285

Path components of Morse mapping spaces of surfaces
Commentarii Mathematici Helvetici, 80 (2005)
655690

Sections of Lie groups actions and M. Newman theorem
'Fundamental mathematics today' Proceedings dedicated to the 10th Anniversary of the Independent Moscow University (2003)
246258

Smooth shifts along trajectories of flows
Topology and its Applications, 130 (2003)
183204

with
Mark Pankov and Eugene Polulyah,
Representations of compact subsets of Rn
Topology and its Applications, 119 (2002)
3339

A new proof of classification theorem on components of Morse map space of surfaces
Proceedings of International Conference 'Lowdimensional topology and combinatorial group theory', Chelyabinsk, August, 1999. Kiev (2000)
186198

Classification of mfunctions on surfaces
Ukr. Math. J., 51, no. 8 (1999)
11291135

Pathcomponents of Morse mappings space
Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998)
135153

Equivalence of mfunctions on surfaces
Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998)
128134

On J. Whitehead conjecture
Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998)
118127

On topological spaces with π_{2}=0
Ukrainian Mathematical Journal, 50, no. 8 (1998)
11441146