Department of Algebra, topology and fundamentals of mathematics

  • About the Department
  • History of Department
  • Employees
  • Lecturers' schedule
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In the history of mathematics, the city of Lviv is known by its mathematical school, which, as a branch of the famous Polish mathematical school was operating mostly between two World Wars.

This comparatevely short period of time was highly productive, in particular, for the development of topology in Lviv due to the contribution of several brilliant Polish topologists such as Waclaw Sierpiriski, Kazimierz Kuratowski, Zygmunt Janiszewski, Bronistaw Knaster, Juliusz P. Schauder. To a great extent, the activity of the Lviv mathematical school was interrupted by the dramatic events of the WWII, which changed the whole infrastructure of the mathematical science in Lviv. This historic period marked the end of the Lviv phenomenon as a branch of Polish mathematical school and also a point of discontinuity of topological investigations in Lviv (perhaps the only topologist working in Lviv during the post-war years was Myron Zaryts’kyi (Zarycki); some of his results concerning operations on sets in topological spaces were cited in “Topology” by K. Kuratowski).

Conditionally, the modem period of development of topology in Lviv started with the organization of the topological seminar at the Lviv University. The seminar is held by the Chair of Algebra and Topology of the Department of Mechanics and Mathematics. The Chair and the seminar were founded in early 80s of the last century and the participants of the seminar are closely related to the Moscow topological school (they are either immediate or intermediate disciples of Moscow topologists from the Chair of General Topology and Geometry at the Moscow State University; see Vol. 107 (1-2) (2000) of Topology and its Applications dedicated to 15th anniversary of this Chair).

The group of topologists at Lviv University carries out research in different areas of topology and related mathematical disciplines: topological algebra (the theory of topological groups and semigroups), categorical topology, dimension theory, in particular, infinite-dimensional topology and topology of infinite-dimensional manifolds, geometric topology, group actions, knot theory, and topology of dynamic systems. Many results are obtained in cooperation with mathematicians from other countries, in particular, from Russia, Poland, Canada, the USA, France, Japan.

During these two decades, the topological seminar became one of the centers around which topological life in Ukraine was concentrated.

Employees

ChairpersonTaras BanakhChairperson
ProfessorMykhailo ZarichnyiProfessor
Docent, (by-worker)Oleg GutikDocent, (by-worker)
DocentOlena HrynivDocent
Docent (by-worker)Ihor HuranDocent (by-worker)
LecturerKhrystyna SukhorukovaLecturer

Lecturers' schedule



Семінар кафедри АТОМ

28.06.2023 | 19:10

У вівторок 4 липня о 15:05 в Банахівській аудиторії 377 відбудеться семінар кафедри АТОМ, на якому доповідатиме Ірина Кузь-Hartsock (PhD, University of Florida) на тему Learning on Persistence Diagrams. 

Abstract: Persistence diagrams are common topological descriptors of data that play an important role in Topological Data Analysis (TDA). In my talk, I will give a short overview of TDA and present the results of two different projects. The first work is about topological and metric properties of persistence diagram spaces. These...

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Seminar on the theory of analytical functions

20.06.2023 | 22:04

On Thursday, June 22, 2023, at 3:05 p.m., a report (part II) will be held online at the meeting of the seminar on the theory of analytical functions:
A.I. Bandura
Composition of entire function with
a function having vanished gradient. II
Before the performance, discussion of the performances and participation in the seminar
all are welcome..
Access codes are listed below.
https://us04web.zoom.us/j/77028543729?pwd=RjdjeXd4Tmx3RjVOekQvRnE4bmdrUT09
Or enter directly
Access codes to the ZOOM conference:
Host Oleg Skaskiv
Meeting ID 770 2854 3729
Passcode 6Qh1TX
Numeric...

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Seminar on the theory of analytical functions

14.06.2023 | 21:12

On Thursday, June 15, 2023, at 3:05 p.m., a report will be given online at the session of the seminar on the theory of analytic functions:
A.I. Bandura
Composition of entire function with
a function having vanished gradient
Before the performance, discussion of the performances and participation in the seminar
all are welcome..
Access codes are listed below.
https://us04web.zoom.us/j/77028543729?pwd=RjdjeXd4Tmx3RjVOekQvRnE4bmdrUT09
Or enter directly
Access codes to the ZOOM conference:
Host Oleg Skaskiv
Meeting ID 770 2854 3729
Passcode 6Qh1TX
Numeric Passcode...

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Seminar on the theory of analytical functions

08.06.2023 | 09:25

On Thursday, June 8, 2023, at 3:05 p.m., a report (second part) will be held online at the session of the seminar on the theory of analytical functions:
V.M. Dilnyi
Results of Prof. Bohdan Vynnytskyi:
absolutely representing systems
Before the performance, discussion of the performances and participation in the seminar
all are welcome..
Access codes are listed below.
https://us04web.zoom.us/j/77028543729?pwd=RjdjeXd4Tmx3RjVOekQvRnE4bmdrUT09
Or enter directly
Access codes to the ZOOM conference:
Host Oleg Skaskiv
Meeting ID 770 2854 3729
Passcode 6Qh1TX
Numeric Passcode...

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Open lecture of Assoc. V.L. Brydun on the topic “Methodology of test construction”.

03.06.2023 | 13:27

On Tuesday, June 6, 2023 at 3:05 p.m. in the auditorium. 377, an open lecture by Victoria Lubomyrivna Brydun, associate professor of the Department of Algebra, Topology and Fundamentals of Mathematics, will be held on the topic “Methodology of test construction”.
From the idea of conducting a test to the final stage of processing the results of the conducted test, there is a long way, sometimes several years long.
“What are the stages of test construction?”, “How to correctly create...

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