A note on the periodic structure of transversal maps on the torus and products of spheres

DOI10.1007/s12346-020-00356-7zbMath1444.37019OpenAlexW3006357112MaRDI QIDQ2302184

Victor F. Sirvent

Publication date: 25 February 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00356-7

zbMATH Keywords

torusperiodic pointproduct of spheresLefschetz numberstransversal mapsrational exterior spaces

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Generalized Dold sequences on partially-ordered sets ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ Periodic structure of the transversal maps on surfaces ⋮ Periods of holomorphic maps on compact Riemann surfaces and product of spheres

Cites Work

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• Periodic orbits of transversal maps
• Periods for Transversal Maps Via Lefschetz Numbers for Periodic Points
• Periodic structure of transversal maps on sum-free products of spheres

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