On ĝ-homeomorphisms in topological spaces

  • Miguel Caldas Cueva Universidade Federal Fluminense.
  • Saeid Jafari College of Vestsjaelland South.
  • N. Rajesh Ponnaiyah Ramajayam College.
  • M. L. Thivagar Arul Anandhar College.
Palabras clave: ge-closed set, ge-open set, ge-continuous function, ge-irresolute map.

Resumen

In this paper, we first introduce a new class of closed map called ĝ-closed map. Moreover, we introduce a new class of homeomorphism called ĝ-homeomorphism, which are weaker than homeomorphism. We prove that gc-homeomorphism and ĝ-homeomorphism are independent. We also introduce ĝ*-homeomorphisms and prove that the set of all ĝ*-homeomorphisms forms a group under the operation of composition of maps. 

Biografía del autor

Miguel Caldas Cueva, Universidade Federal Fluminense.
Departamento de Matemática Aplicada.
N. Rajesh, Ponnaiyah Ramajayam College.
Department of Mathematics.
M. L. Thivagar, Arul Anandhar College.
Department of Mathematics.

Citas

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Cómo citar
Caldas Cueva, M., Jafari, S., Rajesh, N., & Thivagar, M. (1). On ĝ-homeomorphisms in topological spaces. Proyecciones. Revista De Matemática, 28(1), 1-19. https://doi.org/10.4067/S0716-09172009000100001
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