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.
Palabras clave: Semigroups, Reversibility, Fiber bundles, Control sets.

Resumen

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.

Biografía del autor

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.

Citas

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[2] Braga Barros, C.J.; San Martin, L.A.B.: On the action of semigroups in fiber bundles. Mat. Comtemp., SBM, Vol. 15, 3, pp. 257-276, (1996).

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[5] Hilgert, J. ; Neeb, K.-H.: Lie semigroups and their applications. Lecture Notes in Math. 1552. (Springer, Berlin 1993).

[6] Kobayashi, S.; Nomizu, K.: Foundations of differential geometry. John Willey & Sons, (1963).

[7] Rocio, O.G. ; San Martin, L. A. B.: Connected components of open semi groups in semi-simples Lie groups. To appear in Semigroup Forun.

[8] Ruppert, W.A.F.: On open subsemigroups of connected groups. Semigroup Forum Vol. 50, pp. 59-88, (1995).

[9] San Martin, L.A.B.: Invariant control sets on flag manifolds. Math. Control Signals Systems 6, pp. 41-61, (1993).

[10] San Martin, L.A.B.: Semigroups of local homeomorphisms. Submitted.

[11] San Martin, L.A.B. ; Santana, A.J.: The homotopy type of Lie semigroups in semi-simple Lie groups. Monatsh. Math. 136, pp. 151-173, (2002).

[12] San Martin, L.A.B. ; Tonelli, P.A.: Semigroup actions on homogeneous spaces. Semigroup Forum 50, pp. 59-88, (1995).
Publicado
2017-04-20
Cómo citar
San Martin, L., Rocío, O., & Santana, A. (2017). Reversibility For Semigroup Actions. Proyecciones. Journal of Mathematics, 24(1), 21-35. https://doi.org/10.4067/S0716-09172005000100003
Sección
Artículos