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Oleg GUTIK
Associate Professor of the Ivan Franko National University of Lviv


| Research Interests | Curriculum Vitae | Education | Dissertation | Research Experience | Seminars | Publications | Teaching Experience | Advising | Lecture Notes and Textbooks | Professional Activity | Editorial Activity | Contact Addresses | Українська версія |

PhD Thesis

  1. Kateryna PAVLYK, Topological semigroups of matrix units and Brandt λ-extensions of topological semigroups, Lviv, 2007. Abstract.
  2. Ivan CHUCHMAN, Inverse semigroups of partial injective transformations of infinite sets and partial homeomorphisms of interval, Lviv, 2012. Abstract.
  3. Serhii BARDYLA, Completeness of topological semilattices and semigroups, Lviv, 2017. Abstract.
  4. Inna POZDNIAKOVA, A structure of semigroups of partial bijections of countable ordered sets, Lviv - Ivano-Frankivsk, 2017. Abstract.
  5. Kateryna PSTRYI (MAKSYMYK), Topologization and extension of groups, bicyclic semigroups and their variants, Lviv, 2021. Abstract.

Magister Thesis

  1. Yurii LIVACH, Embedings of topological semigroups, Lviv, 2004.
  2. Viktor MEL'NYK, Homomorphisms of topological semigroups, Lviv, 2006.
  3. Ivan CHUCHMAN, H-closed topological semilattices, Lviv, 2007.
  4. Oksana LES'KIV, Topological Int-semilattices, Lviv, 2007.
  5. Kateryna MAKSYMYK, Topological Brandt λ0-extensions of topological semigroups, Lviv, 2007.
  6. Andriy REITER, Countably compact topological semigroups, Lviv, 2007.
  7. Yuriy SHCHERBA, Compact congruence-free topological semigroups, Lviv, 2007.
  8. Iryna FIGEL', λ0-extensions of semigroups, Lviv, 2009.
  9. Ruslana PETRIV, Chains in H-closed partially ordered topological spaces, Lviv, 2009.
  10. Nataliya HURMAN, Topological symmetric inverse semigroups of a bounded rank, Lviv, 2010.
  11. Lesya KHOR, Topological semigroups of co-finite monotone bijective partial transformations of the positive numbers, Lviv, 2010.
  12. Myroslava RUTAR, Semigroups of continuous transformations of topological spaces, Lviv, 2010.
  13. Tetyana SKYRA, Primitive topological inverse semigroups, Lviv, 2010.
  14. Mariya KHABURS'KA, H-closed Brandt extesions, Lviv, 2011.
  15. Mariya SIMAGINA, The semigroup of injective partial co-finite transformations, Lviv, 2011.
  16. Vasyl' HOLOD, A Semigroup of closed connected homeomorphisms of the onit interval with one fixed point, Lviv, 2012.
  17. Ol'ha HUZAR, A topological semigroup CZ, Lviv, 2012.
  18. Iryna VORSULENKO, Pseudocompact topological λ0-extensions of semitopological monoids, Lviv, 2013.
  19. Serhiy BARDYLA, H-closed topological semilattices, Lviv, 2014.
  20. Orest HRYTSAN, Closures in semitopological inverse semigroups with continuous inversion, Lviv, 2015.
  21. Roman SAVCHYN, On the closures in quasotopological groups, Lviv, 2015.
  22. Iryna TYTAR, Pseudocompact inverse primitive semitopological semigroups, Lviv, 2015.
  23. Marta HARKALO, Locally compact semitopological 0-bisimple inverse ω-semigroups, Lviv, 2017.
  24. Oleksandra SOBOL, Pseudocompact topologies on the semilattice expnλ, Lviv, 2017.
  25. Khrystyna BEREZA, The monoid co-finite partial isometries of positive integers, Lviv, 2018.
  26. Zoreslava DIDOKHA, The semigroup co-finite partial isometries of integers, Lviv, 2018.
  27. Olha KOTSOVSKA, Feebly compact topologies on the semigroup finite partial bijections of bounded range, Lviv, 2018.
  28. Olha KROKHMALNA, The monoid co-finite partial monotone bijections of finite power of positive integers, Lviv, 2018.
  29. Taras MOKRYTSKYI, The monoid of order isomorphisms of principal filters of a power of the positive integers, Lviv, 2018.
  30. Stepan MALKUT, The semigroup of open partial star bijections of the square with a fixed point, Lviv, 2018.
  31. Markian KHYLYNSKYI, Semitopological interassociativities of a polycyclic monoid, Lviv, 2018.
  32. Pavlo KHYLYNSKYI, Polycyclic extensions of semigroups, Lviv, 2018.
  33. Daryna CHERESHNYA, Subsemigroups of the monoid of almost monotone injective co-finite partial transformations the set of positive integers, Lviv, 2019.
  34. Marta CHORNOBAI, Minimal topologies on the bicyclic monoid with adjoined zero, Lviv, 2019.
  35. Khrystyna VIVCHARIVSKA, Extensions of semigroups by symmetric inverse semigroups of a bounded finite rank, Lviv, 2020.
  36. Ivan VORONYCH, The monoid of cofinite partial isometries of positive integers, Lviv, 2020.
  37. Nadia USTYMENKO, Methods of the proof of inequalities, Lviv, 2020.
  38. Ivanna SYNYCHKIV (LAVRIV), Exponent and logarithmic equations and inequalities: methods of solving, Lviv, 2021.
  39. Zoriana SAVARYN, Trigonometric equations and inequalities: methods of solving, Lviv, 2021.

Bachelor Thesis

  1. Iryna DOROSH, Topologizings of spaces of partial mappings and the continuity of the composition, Lviv, 2006.
  2. Iryna LOS', Subgroups in power semigroups of topological groups, Lviv, 2006.
  3. Mar'yana SEN'KIV, Lawson semilattices, Lviv, 2006.
  4. Halyna SHCHABEL', The semigroup of homeomorphic mappings of the interval, Lviv, 2007.
  5. Olesya BILYK, Axioms of the elementary geometry, Lviv, 2008.
  6. Ol'ha BURAK, Semidirect product of topological semigroups, Lviv, 2008.
  7. Lyudmyla KATERYNCHYK, Projective and injective limits of topological semigroups, Lviv, 2008.
  8. Mariya KHOR, Non-Euclidean theory of paralel axises, Lviv, 2008.
  9. Marta KOHUT, Free topological semigroups, Lviv, 2008.
  10. Nataliya TSYUPA, Axiomatization of the elementary geometry, Lviv, 2008.
  11. Yuliya BOIKO, Bruck-Reily extensions of topological semigroups, Lviv, 2009.
  12. Ol'ha BATYUK, Maximal subgroups in counatbly compact topological semigroups, Lviv, 2010.
  13. Halyna TERTEKA, Continuity of the inversion in counatbly compact topological semigroups, Lviv, 2010.
  14. Vasyl' HOLOD, The semigroup of almost identity transformations, Lviv, 2011.
  15. Iryna KHAR, Semigroups of monotone partial bijections of Z, Lviv, 2011.
  16. Lesya KOSTYK, Semitopological Buck-Reilly extensions, Lviv, 2011.
  17. Taras ZINCHENKO, A topologization of semigroups with F-property, Lviv, 2011.
  18. Mar'yana BASYUK, Embeddings of topological semigroups into idempotent generating topological semigroups, Lviv, 2012.
  19. Iryna VORSULENKO, Bicyclic extensions of linearly ordered groups, Lviv, 2012.
  20. Mariya MYTCHYK, Bohr's compactification of topological transformation semigroups, Lviv, 2012.
  21. Halyna MYDLOVETS', On some generalization of the bicyclic semigroup, Lviv, 2013.
  22. Kateryna KORNYLO, Topological spaces which are determined by left ideals of semigroups, Lviv, 2013.
  23. Oksana BLONS'KA, On H-completeness of topological semilattices, Lviv, 2013.
  24. Ol'ha LUTSIV, The group of automorrphisms of the Brandt λ0-extension of a semigroup, Lviv, 2014.
  25. Natalia MEDVID', Pseudocompact primitive topological inverse semigroups, Lviv, 2014.
  26. Mariya MAL'TSEVA, The semigroup of monotone co-finite partial homeomorphisms of the real line, Lviv, 2016.
  27. Oksana PROTSIV, On the dichotomy of a locally compact semitopological bicyclic monoid with adjoined zero, Lviv, 2016.
  28. Yuliya NAMUILYK, Quadratic polynomial in problems, Lviv, 2017.
  29. Yaroslava HNATKIVS'KA, Trigonometric equations and inequalities, Lviv, 2017.

| Research Interests | Curriculum Vitae | Education | Dissertation | Research Experience | Seminars | Publications | Teaching Experience | Advising | Lecture Notes and Textbooks | Professional Activity | Editorial Activity | Contact Addresses | Українська версія |

Chair of Geometry and Topology: http://prima.lnu.edu.ua/faculty/mechmat/Departments/Topology/index.html

Last update: December 20, 2021.
© Oleg Gutik