局部有限集族 meaning in English

locally finite family of sets

On the other hand , locally finite families introduced by p . alexandroff in 1924 have played a fundamental role in the research of metrization problem and paracompact property . research of space with - locally finite networks betters understanding of metric property ' s essence . hereditarily closure - preserving families introduced by n . lasnev in 1966 ties up locally finite families
Alexandroff引入的局部有限集族( locallyfinitefamilies )已在度量化问题及仿紧性的研究中起着不可替代的作用，对于具有局部有限网络空间的探索更加深了人们对度量性的本质了解， 1966年n
These achievements will enrich the relationship between pair - network and network , and further understand the internal connection between hereditarily closure - preserving families and point countable families or locally finite families , and better certain topological non - variability of the space with pair - networks , and enrich the theory of generalized metric space . this paper reached some principal conclusions about the space with - hereditarily closure - preserving pair - networks
弱遗传闭包保持双网络空间的类似结构，这些结果将更加充实双网络与网络之间的关系，进一步明确遗传闭包保持集族与点可数集族或局部有限集族之间的内在联系，完善由双网络确定的空间关于拓扑运算下的某种不变性，丰富了广义度量空间理论