Advances in Theoretical and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 1

Some properties on generalizations of lindelöf spaces in bitopological space

  • Author:
  • J. Kavikumar, Abd Wahid Md Raji, Azme Khamis
  • Total Page Count: 13
  • Page Number: 51 to 63

Science Studies Centre, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia. E-mail: kaviphd@gmail.com, abdwahid@uthm.edu.my, azme@uthm.edu.my

Abstract

We introduce the concept of pairwise regular Lindelöf spaces and investigate the several properties of such spaces. Standard results in Lindelöf spaces in unital topology are extended to bitopological setting and prove some properties of the pairwise regular Lindelöf spaces and also weakness properties of Lindelöf.

Keywords

pairwise Lindelöf, pairwise regular cover, pairwise regular Lindelöf, pairwise almost regular Lindelöf, pairwise semi-regularization