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在Ｔ_１－空间的基础上引进了Ｔ_０－空间等拓扑空间，研究了Ｔ_１－空间等拓扑空间的一些性质。得出的主要结论有：一个Ｔ_０－空间（Ｘ，）是一个Ｔ_０－空间，当且仅当，使得Ｘ∈Ｓ．ｙ∈Ｓ~（－０），或；一个Ｔ_１－空间（Ｘ，）是一个Ｔ_１－空间当且仅当，使得且空间和Ｔ_１－空间是拓朴不变性；Ｔ_０－空间和Ｔ_１－空间是可积性；对于强闭和空间，Ｔ_０－空间和Ｔ_１－空间都是可和性。
Based on T_1-space, topological space such as T_0-space is introduced and some properties of topological space such as T_1-space are studied. The main conclusions drawn are: A T_0-space (X,) is a T_0-space if and only if X∈S. space, and T_1-space are space-invariant and T_1-space is topologically invariant; T_0-space and T_1-space are Integrability; T_0-space and T_1-space are both possitive for strong closed and space.