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Bibliographic Details
Main Authors: Silva, Weslem Liberato, de Souza, Rafael Moreira
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.13233
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Table of Contents:
  • Let $Y \to E \stackrel{p}{\to} B$ be a fibration and let $f: E \to E$ be a fiber map over $B$. In this work, we study the geometric and algebraic Reidemeister classes of the iterates of $f$ and introduce a Nielsen-type periodic number over $B$, denoted by $N_B P_n(f)$. When $B$ is a point, then $N_B P_n(f)$ coincides with the classical Nielsen periodic number.