arXiv
Open Access
2025
Homotopy classification of closed polygonal lines: results and problems
E. Alkin
O. Nikitenko
A. Skopenkov
Abstrak
In this text we expose (as a sequence of problems) basic cases of some fundamental ideas and methods of mathematics. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is done by considering the elementary example: closed polygonal lines in a subset of the plane. Although these ideas and methods are parts of topology, they are used in many other areas including computer science. This text is expository and is accessible to mathematicians not specialized in the area (and to students).
Penulis (3)
E
E. Alkin
O
O. Nikitenko
A
A. Skopenkov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
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