Abstract
New separation axioms which lie strictly between regularity and R₀-axiom are introduced and their basic properties are studied. The interrelations and interconnections among them and the separation axioms which already exist in the mathematical literature are outlined. Their preservation under mappings is discussed. The investigation reveals several new epi-reflective (monoreflective) subcategories of TOP.
Cuvinte cheie
R_{D_{δ}}-space
R_{d_{δ}}-space
R_{D}-space
R_{d}-space
R_1-space
R_0-space
π _0-space
π_1-space (≡P_{Σ}-space≡ strongly s-regular space)
R_{δ}-space
weakly Hausdorff space (≡δT_1-space)
δT_0-space
D_{δ}T_1-space
D_{δ}T_0-space
initial property
epireflective (monoreflective) subcategory.