一种介于B－性质与P－性质之间的拓扑性质  

A TOPOLOGICAL PROPERTY BETWEEN B-PROPERTY AND P-PROPERTY

作　　者：陈世平 

出　　处：《四川大学学报（自然科学版）》1996年第3期225-232,共8页Journal of Sichuan University(Natural Science Edition)

摘　　要：引入了一种介于Ｂ－性质与Ｐ－性质之间、介于中紧与可数中紧之间的拓扑性质──中Ｂ性质，并对这种性质作了系统的研究，分别讨论了它的等价条件、遗传性和映射保持性，还讨论了乘积空间的中－Ｂ性质，最后举例说明中Ｂ－性质严格介于Ｂ－性质与Ｐ－性质之间，严格介于中紧与可数中紧之间．The author has introduced a new topological property which is between B-property and P-property, as well as between meso-compactness and countable meso-compactness, and it is named meso- B -property. A systematic research on this property has been made, including its equivalence,heredity and mapping- invariance. And the author also has some results about the product spaces. As last, the examples have been found to show that meso- B-property is strictly between B -property and P -property, and strictly between meso-compactness and countable mesocompactness.

关 键 词：拓扑性质 中-B性质 一般拓扑 B-性质 

分 类 号：O189.11[理学—数学]