Title of article :
A NOTE ON NEIGHBOURHOODS FOR APPROACH SPACES
Author/Authors :
Jager, Gunther Rhodes University - Department of Statistics, South Africa
Abstract :
We characterize approach spaces by suitable systems of neighbour- hoods. We further characterize the lower separation axioms T0, T1, T2, and regularity and the measure of compactness using these neigh- bourhood systems. Also the approach space underlying an approach uniform space is described using the neighbourhood systems.
Keywords :
Approach space , Neighbourhood , Approach limit , Separation axioms , Regularity , Measure of compactness , Approach uniform space
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
