MAPPINGS AND DECOMPOSITIONS OF PAIRWISE CONTINUITY ON PAIRWISE NEARLY REGULAR-LINDELÖF SPACES
In this paper we study the effect of some mappings and decompositions of pairwise continuity and pairwise open mappings on pairwise nearly regular-Lindelöf spaces. We show that some kinds of mappings preserve the pairwise nearly regular-Lindelöf property such as pairwise R-map, pairwise almost continuous and pairwise almost a‑open, pairwise almost continuous and pairwise almost open, pairwise almost continuous and pairwise weakly open, and pairwise almost continuous and pairwise M-preopen. The main result in this work is that the pairwise R-map preserved the pairwise nearly regular-Lindelöf property. Also, we show that some kinds of mappings implies another properties on the image of a pairwise nearly regular-Lindelöf spaces.
pairwise nearly regular-Lindelöf, pairwise R-map, pairwise almost continuous, pairwise almost open, pairwise M-preopen, pairwise contra-continuous.