Periodic points of self-maps of a space with π1X = Zps

doi:10.21203/rs.3.rs-3207312/v1

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Periodic points of self-maps of a space with π₁X = Z_ps

https://doi.org/10.21203/rs.3.rs-3207312/v1

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The crucial homotopy invariants in Nielsen periodic point theory are the numbers: NP_n(f), which is a lower bounds of the number of periodic points of length equal n, and NF_n(f) a lower bounds of the number of periodic points of length dividing n. Here f : X → X a self-map of a compact polyhedron.

We derive the formulae of these invariants for self-map of the polyhedron with the fundamental group π₁M = Z_p^_s and all irreducible classes are essential.

Periodic points

Nielsen number

least number of periodic points

fixed point index

group Zps

No competing interests reported.

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Editorial decision: Revision requested
16 Sep, 2024
Editor assigned by journal
03 Aug, 2023
Submission checks completed at journal
26 Jul, 2023
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26 Jul, 2023

You are reading this latest preprint version

Periodic points of self-maps of a space with π₁X = Z_ps

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