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Bibliographic Details
Main Authors:	Macías-Virgós, Enrique, Majadas-Moure, Alejandro O., Mosquera-Lois, David, Vilches, José Antonio
Format:	Preprint
Published:	2026
Subjects:	Algebraic Topology Dynamical Systems 57Q70
Online Access:	https://arxiv.org/abs/2602.02075
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Table of Contents:

Let $K$ be a finite simplicial complex, let $g\colon K\to K$ be a simplicial map and let $f$ be a discrete Morse-Bott function on $K$ satisfying $f(g(σ))\leq f(σ)$ for all simplices $σ$ in $K$. We establish a set of inequalities (generalizing the Morse-Bott inequalities which we recover as a particular case when $g$ is the identity) relating the dynamics of $g$ and $f$.