Algorithms and topological invariants for dynamic systems. I. Basic definitions
Dynamical Systems
2025-01-28 v1
Abstract
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.
Cite
@article{arxiv.2501.15657,
title = {Algorithms and topological invariants for dynamic systems. I. Basic definitions},
author = {Alexandr Prishlyak},
journal= {arXiv preprint arXiv:2501.15657},
year = {2025}
}
Comments
20 pages, 13 figures