A Nielsen type periodic number for maps over $B$
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912127828099072 |
|---|---|
| author | Silva, Weslem Liberato de Souza, Rafael Moreira |
| author_facet | Silva, Weslem Liberato de Souza, Rafael Moreira |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Nielsen type periodic number for maps over $B$ Silva, Weslem Liberato de Souza, Rafael Moreira Algebraic Topology 55M20 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. |
| title | A Nielsen type periodic number for maps over $B$ |
| topic | Algebraic Topology 55M20 |
| url | https://arxiv.org/abs/2411.13233 |