Reversibility For Semigroup Actions


  • Luiz A. B. San Martin Universidade Estadual de Campinas.
  • Osvaldo Germano do Rocío Universidade Estadual de Maringá.
  • Alexandre J. Santana Universidade Estadual de Maringá.



Semigroups, Reversibility, Fiber bundles, Control sets.


Let Q be a topological space and S a semigroup of local homeomorphisms of Q. The purpose of this paper is to generalize the notion of reversibility and to introduce the reversible sets. And furthermore, it is established a relation between these sets and the control sets for S and it is studied reversibility of semigroup actions on fiber bundles.

Author Biographies

Luiz A. B. San Martin, Universidade Estadual de Campinas.

Departamento de Matemática.

Osvaldo Germano do Rocío, Universidade Estadual de Maringá.

Departamento de Matemática.

Alexandre J. Santana, Universidade Estadual de Maringá.

Departamento de Matemática.


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How to Cite

L. A. B. San Martin, O. G. do Rocío, and A. J. Santana, “Reversibility For Semigroup Actions”, Proyecciones (Antofagasta, On line), vol. 24, no. 1, pp. 21-35, Apr. 2017.




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