SciELO - Scientific Electronic Library Online

 
vol.28 issue1ARENS REGULARITY OF SOME BILINEAR MAPS author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

Share


Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

CALDAS, M; JAFARI, S; RAJESH, N  and  THIVAGAR, M. L. ON ĝ-HOMEOMORPHISMS IN TOPOLOGICAL SPACES. Proyecciones (Antofagasta) [online]. 2009, vol.28, n.1, pp.1-19. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172009000100001.

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.

Keywords : -closed set; -open set; -continuous function; -irresolute map.

        · text in English     · English ( pdf )

 

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License