Infimum of Topological Entropies of Homotopy Classes of Maps on Infra-solvmanifolds of Type(R)
Received:April 29, 2020  Revised:October 20, 2020
Key Word: infimum, topological entropy, homotopy, infra-solvmanifold of type(R)  
Fund ProjectL:Supported by Research Foundation of Bozhou for the Introduction of Talents, Natural Science Foundation in Universities of Anhui Province(KJ2019A1300)
Author NameAffiliationAddress
Baojun HUANG School of Mathematical Science, Huaibei Normal University 淮北师范大学数学系
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      Let f be a continuous map on infra-solvmanifold M of type(R) and N∞(f) be the asymptotic Nielsen number of f . In this paper , the sufficient conditions to assure that logN∞(f) is the infimum of topological entropies of the homotopy class of the map f are given by using Nielsen fixed point theory. These conclusions will generalize the similar results on infra-nilmanifolds.
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