On the dynamics of the combinatorial model of the real line

DOI10.1080/14689367.2023.2193677arXiv2209.01837OpenAlexW4360976730MaRDI QIDQ6133396

Pedro J. Chocano

Publication date: 24 July 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01837

zbMATH Keywords

dynamical systemsposetsperiodic pointscombinatorial model real line

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamics in general topological spaces (37B02)

Cites Work

• Inverse limits of finite topological spaces
• Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes
• Combinatorial vs. classical dynamics: recurrence
• Topological realizations of groups in Alexandroff spaces
• Creating semiflows on simplicial complexes from combinatorial vector fields
• Algebraic topology of finite topological spaces and applications
• A Lefschetz fixed point theorem for multivalued maps of finite spaces
• Computational approximations of compact metric spaces
• The Sharkovsky Theorem: A Natural Direct Proof
• On some topological realizations of groups and homomorphisms
• Persistent Homology of Morse Decompositions in Combinatorial Dynamics
• Fixed points in partially ordered sets
• Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces

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