T_2

Definition

Property

• T_2 ⇔ T_1+R_1. [2]
• T_2 ⇒ nearly T_2. [3]
• T_2 ⇒ λ-T_2. [4]
• T_2 ⇒ KC. [5]
• T_2 ⇒ sober. [6]

Reference

1. ???
2. Dorsett, C., Images and hyperspaces of s-essentially T_1 and s-essentially T_2 spaces and semitopological properties. (Serbo-Croatian summary) Glas. Mat. Ser. III 21(41) (1986), no. 2, 415–422.
3. Przemski, M., Nearly T_i-continuous functions and some separation axioms. (Serbo-Croatian summary), Glas. Mat. Ser. III 21(41) (1986), no. 2, 431–435.
4. Caldas Miguel, Jafari Saeid, Navalagi Govindappa, More on λ-closed sets in topological spaces.,Rev. Colombiana Mat. 41 (2007), no. 2, 355-369.
5. Wilansky Albert, Between T_1 and T_2., Amer. Math. Monthly 74 (1967) 261-266.
6. M.L. Colasante and D. Van der Zypen, Minimal R_1, minimal regular and minimal presober topologies, Revista Notas de Matemática, Vol.5(1),No. 275, 2009, pp.73-84