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arXiv · 2501.15657

Algorithms and topological invariants for dynamic systems. I. Basic definitions

Alexandr Prishlyak
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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.

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Alexandr Prishlyak. 2025-01-26. Algorithms and topological invariants for dynamic systems. I. Basic definitions. https://arxiv.org/abs/2501.15657

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