Sergiy Maksymenko

Sergiy Maksymenko

Recent preprints

  1. Bohdan Mazhar, Sergiy Maksymenko,
    Smooth functions that split a Klein bottle into two Möbius bands
    (2025) 23 pages
  2. Oleksandra Khokhliuk, Sergiy Maksymenko,
    Foliated and compactly supported isotopies of regular neighborhoods
    (2022) 36 pages
  3. Sergiy Maksymenko, Eugene Polulyakh,
    Actions of groups of foliated homeomorphisms on spaces of leaves
    (2020) 16 pages

Published papers

  1. Sergiy Maksymenko, Eugene Polulyakh,
    Automorphisms and endomorphisms of partitions of topological spaces
    Ukrainian Mathematical Journal (to appear) (2026)
    pdf
  2. Mykola Lysynskyi, Sergiy Maksymenko,
    Differentiable structures on a union of two open sets
    Topology and Its Applicaitons, 378 (2026) 109687
  3. Mykola Lysynskyi, Sergiy Maksymenko,
    Classification of differentiable structures on the non-Hausdorff line with two origins
    to appear as a chapter in the book Geometric Methods in Physical Systems: From Differentiable Structures to Applications, The Wisła 22 Winter School and Workshop (2026)
  4. Iryna Kuznietsova, Sergiy Maksymenko,
    Deformational symmetries of smooth functions on non-orientable surfaces
    Topological Methods in Nonlinear Analysis, 65, no. 1 (2025) 35-77
  5. Sergiy Maksymenko,
    Vector bundle automorphisms preserving Morse-Bott foliations
    Differential Geometry and its Applications, 97 (2024) 102189
  6. Sergiy Maksymenko,
    Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 2
    Journal of Homotopy and Related Structures, 19 (2024) 239-273
  7. Sergiy Maksymenko,
    Topological actions of wreath products
    European Journal of Mathematics, 10 (2024) 21, 34 pages
  8. Sergiy Maksymenko,
    Diffeomorphism groups of Morse-Bott 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) 896-910
  9. Oleksandra Khokhliuk, Sergiy Maksymenko,
    Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 1
    Journal of Homotopy and Related Structures, 18 (2023) 313-356
  10. Oleksii Nikitchenko, Sergiy Maksymenko,
    Fundamental groupoids and homotopy types of non-compact surfaces
    book chapter in 'Groups, Invariants, Integrals, and Mathematical Physics', The Wisła 20-21 Winter School and Workshop (2022) 155-175
  11. Sergiy Maksymenko, Eugene Polulaykh,
    Homeotopy groups of leaf spaces of one-dimensional foliations on non-compact surfaces with non-compact leaves
    Proceedings of the International Geometry Center, 14, no. 4 (2021) 271-290
  12. Sergiy Maksymenko,
    Deformations of functions on surfaces
    Proceedings of Institute of Mathematics of NAS of Ukraine, 17, no. 2 (2020) 150-199
  13. Iryna Kuznietsova, Sergiy Maksymenko,
    Reversing orientation homeomorphisms of surfaces
    Proceedings of the International Geometry Center, 13, no. 4 (2020) 179-209
  14. Oleksandra Khokhliuk, Sergiy Maksymenko,
    Smooth approximations and their applications to homotopy types
    Proceedings of the International Geometry Center, 13, no. 2 (2020) 68-108
  15. Sergiy Maksymenko,
    Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
    Topology and its Applications, 282 (2020) 107312
  16. Anna Kravchenko, Sergiy Maksymenko,
    Automorphisms of cellular divisions of 2-sphere induced by functions with isolated critical points
    Journal of Mathematical Physics, Analysis, Geometry, 16, no. 2 (2020) 138-168
  17. Oleksandra Khokhliuk, Sergiy Maksymenko,
    Diffeomorphisms preserving Morse-Bott functions
    Indagationes Mathematicae, 31, no. 2 (2020) 185-203
  18. Anna Kravchenko, Sergiy Maksymenko,
    Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces
    European Journal of Mathematics, 6 (2020) 114-131
  19. Olena Karlova, Sergiy Maksymenko,
    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
  20. Iryna Kuznietsova, Sergiy Maksymenko,
    Homotopy properties of smooth functions on the Möbius band
    Proceedings of the International Geometry Center, 12, no. 3 (2019) 1-29
  21. Anna Kravchenko, Sergiy Maksymenko,
    Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere
    Proceedings of the International Geometry Center, 11, no. 4 (2018) 72-79
  22. Alexandra Antoniouk, Sergiy Maksymenko,
    Contractibility of manifolds by means of stochastic flows
    Topological Methods in Nonlinear Analysis, 52, no. 2 (2018) 599-611
  23. Sergiy Maksymenko,
    Symplectomorphisms of surfaces preserving a smooth function, I
    Topology and its Applications, 235 (2018) 275-289
  24. Sergiy Maksymenko, Eugene Polulyakh,
    Characterization of striped surfaces
    Proceedings of the International Geometry Center, 10, no. 2 (2017) 22-38
  25. Sergiy Maksymenko, Eugene Polulyakh, Yuliya Soroka,
    Homeotopy groups of one-dimensional foliations on surfaces
    Proceedings of the International Geometry Center, 10, no. 1 (2017) 22-46
  26. Sergiy Maksymenko, Eugene Polulyakh,
    One-dimensional foliations on topological manifolds
    Proceedings of the International Geometry Center, 9, no. 2 (2016) 1-23
  27. Sergiy Maksymenko, Eugene Polulyakh,
    Foliations with all non-closed leaves on non-compact surfaces
    Methods of Functional Analysis and Topology, 22, no. 3 (2016) 266-282
  28. Sergiy Maksymenko, Oksana Marunkevych,
    Topological stability of continuous functions with respect to averagings
    Ukrainian Mathematical Journal, 68, no. 5 (2016) 625-633
  29. Sergiy Maksymenko, 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) 146-163
  30. Sergiy Maksymenko, Eugene Polulyakh,
    Foliations with non-compact leaves on surfaces
    Proceedings of the International Geometry Center, 8, no. 3-4 (2015) 17-30
  31. Karsten Keller, Sergiy Maksymenko, Inga Stolz,
    Entropy determination based on the ordinal structure of a dynamical system
    Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 20, no. 10 (2015) 3507-3524
  32. Sergiy Maksymenko, Bogdan Feshchenko,
    Orbits of smooth functions on 2-torus and their homotopy types
    Matematychni Studii, 44, no. 1 (2015) 67-83
  33. Sergiy Maksymenko, Bogdan Feshchenko,
    Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle
    Methods Funct. Anal. Topology, 21, no. 1 (2015) 22-40
  34. Sergiy Maksymenko, Bogdan Feshchenko,
    Homotopy properties of spaces of smooth functions on 2-torus
    Ukrainian Mathematical Journal, 66, no. 9 (2014) 1205-1212
  35. Alexandra Antoniouk, Karsten Keller, Sergiy Maksymenko,
    Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras
    Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 34, no. 5 (2014) 1793-1809
  36. Sergiy Maksymenko,
    Homotopy types of right stabilizers and orbits of smooth functions on surfaces
    Ukrainian Mathematical Journal, 64, no. 9 (2012) 1186-1203
  37. Sergiy Maksymenko,
    Local inverses of shift maps along orbits of flows
    Osaka Journal of Mathematics, 48, no. 2 (2011) 415-455
  38. Sergiy Maksymenko,
    Deformations of circle-valued Morse functions on surfaces
    Ukrainian Mathematical Journal, 62, no. 10 (2011) 1360-1366
  39. Sergiy Maksymenko,
    Image of a shift map along the orbits of a flow
    Indiana University Mathematics Journal, 59, no. 5 (2010) 1587-1628
  40. Sergiy Maksymenko,
    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) 7-66
  41. Sergiy Maksymenko,
    Period functions for C0 and C1 flows
    Ukrainian Mathematical Journal, 62, no. 7 (2010) 954-967
  42. Sergiy Maksymenko,
    Kernel of a map of a shift along the orbits of continuous flows
    Ukrainian Mathematical Journal, 62, no. 5 (2010) 651-659
  43. Sergiy Maksymenko,
    Symmetries of center singularities of plane vector fields
    Nonlinear Oscillations, 13, no. 2 (2010) 177-205
  44. Sergiy Maksymenko,
    Functions on surfaces and incompressible subsurfaces
    Methods of Functional Analysis and Topology, 16, no. 2 (2010) 167-182
  45. Sergiy Maksymenko,
    Symmetries of degenerate center singularities of plane vector fields
    Nonlinear Oscillations, 12, no. 4 (2009) 507-526
  46. Sergiy Maksymenko,
    Functions with homogeneous singularities on surfaces
    Reports of NAS of Ukraine, 8 (2009) 20-23
    pdf
  47. Sergiy Maksymenko,
    Reparametrizations of vector fields and their shift maps
    Proceedings of Intsitute of Mathematics of NAS of Ukriane, 6, no. 2 (2009) 489-498
  48. Sergiy Maksymenko,
    Connected components of partition preserving diffeomorphisms
    Methods of Functional Analysis and Topology, 15, no. 3 (2009) 264-279
  49. Sergiy Maksymenko,
    ∞-jets of diffeomorphisms preserving orbits of vector fields
    Central European Journal of Mathematics, 7, no. 2 (2009) 272-298
  50. Sergiy Maksymenko,
    Homotopy dimension of orbits of Morse functions on surfaces
    Travaux Mathematiques, 18 (2008) 39-44
  51. Sergiy Maksymenko,
    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) 269-308
  52. Sergiy Maksymenko,
    Consecutive shifts along orbits of vector fields
    Proceedings of the Conference 'Foliations-2005', (Ploand, Lodz, 2005), World Scientific, Singapore (2006) 327-340
  53. Sergiy Maksymenko,
    Stabilizers and orbits of smooth functions
    Bulletin des Sciences Mathematiques, 130 (2006) 279-311
  54. Sergiy Maksymenko,
    Homotopy types of stabilizers and orbits of Morse functions on surfaces
    Annals of Global Analysis and Geometry, 29, no. 3 (2006) 241-285
  55. Sergiy Maksymenko,
    Path components of Morse mapping spaces of surfaces
    Commentarii Mathematici Helvetici, 80 (2005) 655-690
  56. Sergiy Maksymenko,
    Sections of Lie groups actions and M. Newman theorem
    'Fundamental mathematics today' Proceedings dedicated to the 10th Anniversary of the Independent Moscow University (2003) 246-258
  57. Sergiy Maksymenko,
    Smooth shifts along trajectories of flows
    Topology and its Applications, 130 (2003) 183-204
  58. Sergiy Maksymenko, Mark Pankov, Eugene Polulyah,
    Representations of compact subsets of Rn
    Topology and its Applications, 119 (2002) 33-39
  59. Sergiy Maksymenko,
    A new proof of classification theorem on components of Morse map space of surfaces
    Proceedings of International Conference 'Low-dimensional topology and combinatorial group theory', Chelyabinsk, August, 1999. Kiev (2000) 186-198
  60. Sergiy Maksymenko,
    Classification of m-functions on surfaces
    Ukr. Math. J., 51, no. 8 (1999) 1129-1135
  61. Sergiy Maksymenko,
    Path-components of Morse mappings space
    Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998) 135-153
  62. Sergiy Maksymenko,
    Equivalence of m-functions on surfaces
    Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998) 128-134
    pdf
  63. Sergiy Maksymenko,
    On J. Whitehead conjecture
    Some problems of contemporary mathematics. Proceedings of Institute of Mathematics of Ukrainian NAS, 25 (1998) 118-127
    pdf
  64. Sergiy Maksymenko,
    On topological spaces with π2=0
    Ukrainian Mathematical Journal, 50, no. 8 (1998) 1144-1146
CONTACTS

Algebra and Topology department
Institute of Mathematics of NAS of Ukraine
Str. Tereshchenkivska, 3
Kyiv, 01024 Ukraine
Email: maks@imath.kiev.ua

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