Education: Ivan Franko Lviv State University (Speciality: Mathematics, 1998)
Scientific degree: PhD (2003)
Position: Senior researcher
Fields of interest:
- Topological algebra
- General topology
- Combinatorial geometry
- Combinatorics
- Graph theory
- Theory of matrices
- Functional analysis
Selected publications:
- Banakh, T., S. Bardyla, and A. Ravsky. “Embeddings into Countably Compact Hausdorff Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 8, Aug. 2023, pp. 1032 -42, doi:10.3842/umzh.v75i8.2283.
- Chaplick S., Fleszar K,.Lipp F., Ravsky A., Verbitsky O., Wolff A. The Complexity of Drawing Graphs on Few Lines and Few Planes Journal of Graph // Algorithms and Applications Vol. 27, no. 6, pp. 459-488, 2023. https://jgaa.info/getPaper?id=630
- Banakh, I., Banakh, T., Kolinko, M., & Ravsky, A. (2023). Metric characterizations of some subsets of the real line. Matematychni Studii, 59(2), 205-214. https://doi.org/10.30970/ms.59.2.205-214
- Firman O., Kindermann P., Klemz B., Ravsky A., Wolff A., Zink J. "The Complexity of Finding Tangles" https://books.google.com.ua/books?hl=ru&lr=&id=rISjEAAAQBAJ&oi=fnd&pg=PA3&ots=6TjczIjkq3&sig=ZfEXGz06qgOLEjS7SuWi50TOHp4&redir_esc=y#v=onepage&q&f=false
- Banakh, T.; Ravsky, A. On Unconditionally Convergent Series in Topological Rings // Carpathian Math. Publ. 2022, 14, 266-288. https://doi.org/10.15330/cmp.14.1.266-288.
- Ravsky, A., Banakh, T. (2022). Bounds on the extent of a topological space. // Matematychni Studii, 57(1), 62-67. https://doi.org/10.30970/ms.57.1.62-67
- Lin F., Ravsky A., Shi T., Suitable sets for paratopological groups, Revista de la real academia de ciencias exactas, fisicas y naturales. Serie A. Matem\'aticas 115:183 (2021).
- Banakh T., Ravsky A., Semitopological modules, Bukovinian mathematical journal, 9:1 (2021), 9–28.
- Banakh T., Ravsky A., On pseudobounded and premeager paratopological groups, Matematychni studii 56:1 (2021), 20–27.
- Banakh T., Bardyla S., Guran I., Gutik O., Ravsky A., Positive answers to Koch's problem in special cases, Topol. algebra appl. 8 (2020), 76–87.
- Banakh T., Bardyla S., Ravsky A., A metrizable semitopological semilattice with non-closed partial order, Topol. algebra appl. 8 (2020), 67–75.
- Banakh T., Bardyla S., Ravsky A., Embedding topological spaces into Hausdorff $\kappa$-bounded spaces, Topology appl. 280 (2020), 107277.
- Banakh T., Bardyla S., Ravsky A., A metrizable Lawson semitopological semilattice with non-closed partial order, Proc. intern. geom. center. 13:3 (2020), 10–17.
- Banakh T., Guran I., Ravsky A., Generalizing separability, precompactness and narrowness in topological groups, Revista de la real academia de ciencias exactas, fi sicas y naturales. Serie A. Matem\'aticas 115:18 (2020).
- Banakh T., Guran I., Ravsky A., Each topological group embeds into a duoseparable topological group, Topology appl. 289 (2020), 107487.
- Banakh T., Ravsky A., On feebly compact paratopological groups, Topology appl. 284 (2020), 107363.
- Banakh T., Ravsky A., Zero-sum subsets of decomposable sets in Abelian groups, Algebra and discrete mathematics 30:1 (2020), 15–25.
- Bardyla S., Ravsky A., Closed subsets of compact-like topological spaces, Applied general topology 21:2 (2020), 201–214.
- Bardyla S., Ravsky A., Zdomskyy L., A countably compact topological group with the non-countably pracompact square, Topology appl. 279 (2020), 107251.
- Chaplick S., Fleszar K., Lipp F., Ravsky A., Verbitsky O., Wolff A., Drawing graphs on few lines and few planes, Journal of computational geometry 11:1 (2020), 433–475.
- Chaplick S., van Dijk T., Kryven M., Park J.-W., Ravsky A., Wolff A., Bundled crossings revisited, Journal of graph algorithms and applications 24:4 (2020), 621–655.
- Lin F., Ravsky À., Zhang J., Countable tightness and $\mathfrak G$-bases on free topological groups, Revista de la real academia de ciencias exactas, fisicas y naturales. Serie A. Matem\'aticas 114:2:67 (2020).
- Banakh T.O., Bardyla S.O., Ravsky A.V. The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices // Topology Appl. – 2019. – 267. – 106874. – https://doi.org/10.1016/j.topol.2019.106874.
- Banakh T., Ravsky A. Banalytic spaces and characterization of Polish groups // Letters in mathematical sciences 1. – P.1–13, (published online 05.05.2019).
- Ravsky A. A note on compact-like semitopological groups // Carpathian mathematical publications – 2019. – 11, No. 2. – P. 442–452. – https://doi.org/10.15330/cmp.11.2.442-452.
- Kryven M., Ravsky A.V., Wolff A. Drawing graphs on few circles and few spheres // Journal of graph algorithms and applications – 2019. – 23, No. 2. – P. 371–391. – http://dx.doi.org/10.7155/jgaa.00495.
- Banakh T.O., Chervak O., Martynyuk T., Pylypovych M., Ravsky A.V., Simkiv M. Kuratowski monoids of n-topological spaces // Topol. Algebra Appl. – 2018 – 6. – P. 1–25. – https://doi.org/10.1515/taa-2018-0001.
- Banakh T.O., Ravsky A.V. The regularity of quotient paratopological groups // Matematychni studii – 2018. – 49, No. 2. – P. 144–149. – https://doi.org/10.15330/ms.49.2.144-149.
- Gutik O.V., Ravsky A.V. On old and new classes of feebly compact spaces // ³ñíèê Ëüâ³âñüêîãî óí³âåðñèòåòó, ñåð³ÿ ìåõàí³êî-ìàòåìàòè÷íà – 2018. – 85. – P. 48–59.
- Banakh T.O., Guran I.Y., Ravsky A.V. On the spread of topological groups containing subsets of the Sorgenfrey line // ³ñíèê Ëüâ³âñüêîãî óí³âåðñèòåòó, ñåð³ÿ ìåõàí³êî-ìàòåìàòè÷íà – 2018. – 86. – P. 63–70.
- van Dijk T.C., Fink M., Fischer N., Lipp F., Markfelder P., Ravsky A.V., Suri S., Wolff A. Block crossings in storyline visualizations // Journal of graph algorithms and applications – 2017. – 21, No. 5. – P. 873–913. – http://dx.doi.org/10.7155/jgaa.00443.
- Taras Banakh, Alex Ravsky. Each regular paratopological group is completely regular // PAMS. – 2017. – 145:3 – P. 1373-1382 (electronically published on September 15, 2016). http://dx.doi.org/10.1090/proc/13318
- Bardyla S., Gutik O., Ravsky A.. H-closed quasitopological groups // Topology Appl. – 2017. – 217 – P.51-58 (available online 15 December 2016).
- Taras Banakh, Alex Ravsky. Each regular paratopological group is completely regular // PAMS. – March 2017. – 145:3 – P. 1373-1382 (electronically published on September 15, 2016). http://dx.doi.org/10.1090/proc/13318
- Bardyla S., Gutik O., Ravsky A.. H-closed quasitopological groups // Topology Appl. – 2017. – 217 – P.51-58 (available online 15 December 2016).
- Taras Banakh, Alex Ravsky, Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids, Topology Appl 200, (2016), 19–43.
- Taras Banakh, Alex Ravsky, Verbal covering properties of topological spaces, Topology Appl. 201, (2016), 181–205.
- Taras Banakh, Alex Ravsky, On the submetrizability number and i-weight of quasiuniform spaces and paratopological groups, Topology Proc 47, (2016), 221–259.
- Taras Banakh, Alex Ravsky, Sergiy Slobodianiuk, On partitions of G-spaces and G-lattices, Int. J. Algebra Computation 26, (2016) 2, 283–308.
- Taras Banakh, Igor Guran, Alex Ravsky, Manifolds admitting a continuous cancellative binary operation are orientable, Journal of Lie Theory 16, (2016), 1177–1185.
- Áàíàõ T.O., Ìàñëþ÷åíêî Â.Ê., Ðàâñüêèé O.Â. Íàï³âòîïîëîã³÷í³ âåêòîðí³ ïðîñòîðè // Ìàòåìàòè÷íèé â³ñíèê Íàóêîâîãî òîâàðèñòâà ³ì. Øåâ÷åíêà. – 2016. – 13 – Ñ. 84–89.
- Oleg Gutik, Alex Ravsky, On feebly compact inverse primitive (semi)topological semigroups, Matematychni Studii 44 (2015) ?¹1, 3–26.
- Oleg Gutik, Alex Ravsky, Pseudocompactness, products and Brandt $\lambda _0$-extensions of semitopological monoids, Ìàò. ìåòîäè ô³ç.-ìåõ. ïîëÿ 58 (2015), 2, 20–37.
- Ravsky O. V. Paratopological groups II // Matematychni Studii. – 2002. –
17, ¹1 – P.93-101.
- Ravsky O. V. Paratopological groups I // Matematychni Studii. – 2001. –
16, ¹1 – P.37-48.
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Ravsky O.V. On cake dividing // Matematychni Studii. – 2001. – 15, ¹2 –
P.215-216.
Phone: (032) 258-51-77
E-mail:
oravsky–
at–mail.ru