Abstract
We discuss here some properties of β-R<sub>0</sub> and β-R<sub>1</sub> topological spaces. A new separation axiom β-R<sub>T</sub> is introduced. lt is proved that β-R<sub>T</sub> is strictly weaker then β-R<sub>0</sub> . It is also seen that digital line and digital plane both are β-R<sub>0</sub>.
Cuvinte cheie
β-R<sub>0</sub> spaces
&beta-R<sub>1</sub> spaces
digital line and digital plane; Triebel-Lizorkin space; Herz-Hardy space; Herz space; Lipschitz space