• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Darya Pavlova
On Topological Classification of Gradient-like Flows with Four Fixed Points
Mathematics
(Bachelor’s programme)
10
2019
The paper presents a study of topological classification in the class G(S^4).We consider a class G(S^4) of gradient-like flows on the sphere S^4 such that for any flow feG(S^4) its non-wandering set consists of exactly four equilibria: source, sink and two saddles.We give a topological classification of Morse-Smale flows on the sphere S4 and describe an algorithm of realization in all classes of topological equivalence of flows from G(S^4)

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses