2021/11/16 by P. Christopher Staecker, Staecker, P. Christopher
Computer Science · #55M20 #Algebraic Topology (math.AT) #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2111.08467
openalex publication_date 2021/11/16 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
In topological fixed point theory, the Reidemeister trace is an invariant associated to a selfmap of a polyhedron which combines information from the Lefschetz and Nielsen numbers. In this paper we define the Reidemeister trace in the context of n-valued selfmaps of compact polyhedra. We prove several properties of the Reidemeister trace which generalize properties from the single-valued theory, and prove an averaging formula.