Algorithms and topological invariants for dynamic systems. I. Basic definitions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929687901503488 |
|---|---|
| author | Prishlyak, Alexandr |
| author_facet | Prishlyak, Alexandr |
| contents | We construct algorithms and topological invariants that allow us to distinguish the topological type of a surface, as well as functions and vector fields for their topological equivalence. In the first part we discus the main structures used in the topology of manifolds: vector fields, dynamical systems, Morse functions, cell decompositions, and the fundamental group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15657 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algorithms and topological invariants for dynamic systems. I. Basic definitions Prishlyak, Alexandr Dynamical Systems 37c10, 37c15, 37c20 G.1.7 We construct algorithms and topological invariants that allow us to distinguish the topological type of a surface, as well as functions and vector fields for their topological equivalence. In the first part we discus the main structures used in the topology of manifolds: vector fields, dynamical systems, Morse functions, cell decompositions, and the fundamental group. |
| title | Algorithms and topological invariants for dynamic systems. I. Basic definitions |
| topic | Dynamical Systems 37c10, 37c15, 37c20 G.1.7 |
| url | https://arxiv.org/abs/2501.15657 |