On ()-almost-pre-continuous mappings in topological spaces

Saravanakumar, D.; Ganster, M.; Kalaivani, N.; Krishnan, G. Sai Sundara

doi:10.1016/j.joems.2014.02.013

On ()-almost-pre-continuous mappings in topological spaces

Document Type : Original Article

Authors

¹ Department of Mathematics, SNS College of Engineering, Coimbatore, India

² Graz University of Technology, Steyrergasse 30, A-8010 Graz, Austria

³ Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, India

⁴ Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, India

10.1016/j.joems.2014.02.013

Abstract

In this paper, we introduced the notion of c-regular-open sets and c-d.open sets and
studied some of their basic properties and investigated the relationship between them. Also we
introduced the notion of c-d-Ti i ¼ 0; 1
2 ; 1; 2 spaces and characterized them using c-d.open sets
and c-d.closed sets. Finally the concepts of (c; b
)-almost-pre-continuous mappings and (c; b
)-
almost-pre-open (closed) mappings and studied some of their basic properties.

Keywords