On ĝ-homeomorphisms in topological spaces

• Caldas Cueva, Miguel ^[1] ; Jafari, Saeid ^[2] ; Rajesh, N. ^[3] ; Thivagar, M. L. ^[4]
  1. [1] Universidade Federal Fluminense

     Universidade Federal Fluminense

     Brasil

     
  2. [2] College of Vestsjaelland South.
  3. [3] Ponnaiyah Ramajayam College.
  4. [4] Arul Anandhar College.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 1, 2009, págs. 1-19
• Idioma: inglés
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• 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.