Abstract: This paper discusses some basic properties of δ-sober spaces,introduces the concept of s₂-weakly convergent spaces,and discusses the relationship between δ-sober spaces and s₂-weakly convergent spaces.The main conclusions are as follows:1)The subspaces ofδ-sober spaces are δ-sober spaces.2)If (X,τ) is an IDC space,then it is an s₂-weakly convergence space if and only if it is a δ-sober space.3)The topology on the s₂-weakly convergence IDC space is consistent with the σ₂-topology and O(X)=O_σ2(X)=O_SI2(X).4)If (X,τ) is an SI₂-quasicontinuous space,then it is a δ-sober space.5)Let (X,τ) be a locally hypercompact δ-sober space,then it is an s₂-quasi continuous poset.

Key words: SI₂-continuous, SI₂-topology, δ-sober space, s₂-weak convergence, IDC space