The notion of $$\mu$$ -monotonically T2 spaces is introduced, which is a generation of monotone T2 separation in general topological spaces. The characterization and some properties of $$\mu$$ -monotonically T2 spaces are given. Besides, the definition of the box product of the topologies is extended to generalized topologies, and we prove that the box product of $$\mu$$ -monotonically T2 spaces is $$\mu$$ -monotonically T2.

中文翻译：

---

广义单调T2空间

引入了$$\mu$$ -单调T2空间的概念，它是一般拓扑空间中单调T2分离的生成。给出了$$\mu$$单调T2空间的表征和一些性质。此外，将拓扑的盒积的定义推广到广义拓扑，证明$$\mu$$ -单调T2空间的盒积是$$\mu$$ -单调T2。