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Research Article Open Access
The question of determining metric spaces which have the property that every continuous self-map on it has a periodic point is considered. It is settled completely among zero-dimensional spaces (Theorem -1) and also among all sunsets of R (Theorem-2).
Metric spaces, Periodic points properties (p.p.p), Biometrics ,Biostatistics, Behaviometrics, Combinatorics, Deformation, Geometry, Harmonic analysis, Algebra, Homotopical Algebra,Latin square, Lie theory, Lie Triple Systems, Loop Algebra,Representation theory, Symmetric Space, Topology, Quantum Group, Operad theory, Quasigroup