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such a space need not be completely Hausdorff.)Thus, the definition of T₃ may cite T₀, T₁, or T_2½ instead of T₂ (Hausdorffness); all are equivalent in the context of regular spaces.

Speaking more theoretically, the conditions of regularity and T₃-ness are related by Kolmogorov quotients.A space is regular if and only if its Kolmogorov quotient

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