generic point

Definition

• Let (X,τ) be a topological space and C an irreducible closed subset of X. A point x ∈ C is called a generic point of C if cl({x})=C.

Reference

• M.L. Colasante and D. Van der Zypen, Minimal R_1, minimal regular and minimal presober topologies, Revista Notas de Matem�・tica, Vol.5(1),No. 275, 2009, pp.73-84