Homotopy minimal periods for expanding maps on infra-nilmanifolds

DOI10.2969/jmsj/1180135506zbMath1119.55002OpenAlexW2018849022MaRDI QIDQ873731

Xuezhi Zhao, Jong Bum Lee

Publication date: 2 April 2007

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1180135506

zbMATH Keywords

infra-nilmanifoldsexpanding mapsessentially reduciblehomotopy minimal periods

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30)

Related Items (9)

Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$ ⋮ Unnamed Item ⋮ Calculation of Nielsen periodic numbers of fibre preserving maps ⋮ Calculation of Nielsen periodic numbers on infra-solvmanifolds of type (R) ⋮ Homotopy minimal period self-maps on flat manifolds ⋮ Calculation of Nielsen periodic numbers on infra-nilmanifolds ⋮ Density of the homotopy minimal periods of maps on infra-solvmanifolds ⋮ The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits ⋮ HOMOTOPY MINIMAL PERIODS FOR HYPERBOLIC MAPS ON INFRA-NILMANIFOLDS

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