Geodesic
Generalized Dold sequences on partially-ordered sets
Grzegorz Graff1 ; Jacek Gulgowski ; Małgorzata Lebiedź
1Gdansk University of Technology
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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Dold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems. We generalize the notion of Dold sequence for the case of partially ordered sets and describe their properties. In particular we give two alternative descriptions of generalized Dold sequences: by some class of elementary sequences as well as by different generalized arithmetical functions, both defined on a partially ordered set. We also define vector Dold sequences and show their combinatorial interpretation in terms of periodic points.
DOI : 10.37236/10544
Classification : 11B50, 05A10, 37C25, 37P35, 55M20
Mots-clés : Dold sequence, Möbius function on a poset, periodic points

Grzegorz Graff  1   ; Jacek Gulgowski    ; Małgorzata Lebiedź 

1 Gdansk University of Technology 
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     title = {Generalized {Dold} sequences on partially-ordered sets},
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     year = {2022},
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Grzegorz Graff; Jacek Gulgowski; Małgorzata  Lebiedź. Generalized Dold sequences on partially-ordered sets. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/10544

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