Definition 1.2 T0 axiom: if a, b ∈ X there exist an open set O ∈ τ such
that either a ∈ O and b /∈ O, or b ∈ O and a /∈ O.
T1 axiom: if a, b ∈ X, there exist open sets Oa,Ob ∈ τ containing a and b
respectively, such that b /∈ Oa and a /∈ Ob.
T2 axiom: if a, b ∈ X, there exist disjoint open sets Oa and Ob containing a
and b respectively
Definition 1.2 T0 axiom: if a, b ∈ X there exist an open set O ∈ τ suchthat either a ∈ O and b /∈ O, or b ∈ O and a /∈ O.T1 axiom: if a, b ∈ X, there exist open sets Oa,Ob ∈ τ containing a and brespectively, such that b /∈ Oa and a /∈ Ob.T2 axiom: if a, b ∈ X, there exist disjoint open sets Oa and Ob containing aand b respectively
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