journal6 ›› 2009, Vol. 30 ›› Issue (4): 13-15.

• 数学 • 上一篇    下一篇

Pi空间与P-紧空间

  

  1. (1.安徽建筑工业学院数理系,安徽 合肥 230022;2.邯郸广播电视大学,河北 邯郸 056001)
  • 出版日期:2009-07-25 发布日期:2012-04-22
  • 作者简介:苏发慧(1964-),男,河北磁县人,安徽建筑工业学院数理系教授,硕士,主要从事拓扑、群论研究.

Pi-Spaces and P-Compact Spaces

  1. (1.Maths and Science  Department,Anhui Institute of Architecture,Hefei 230022,China;2.Handan  University of Broadcasting and Television,Handan 056001,Hebei China)
  • Online:2009-07-25 Published:2012-04-22

摘要:利用p-开集(又称准开集)定义了Pi(i=0,1,2,3,4)空间,讨论了它们的性质及Pi(i=0,1,2,3,4)空间与Ti(i=0,1,2,3,4)空间的关系;同时给出了p-覆盖的定义,继而定义了一种新的紧致空间——P-紧致空间,讨论了它的性质及P-紧空间与Pi空间的关系,得到一些很好的性质.

关键词: p-开集, p-覆盖, P-紧致空间, Pi(i=0, 1, 2, 3, 4)空间

Abstract: Using p-open sets,the authors give  the definition of Pi(i=0,1,2,3,4) spaces and discuss their characters.The author also define p-cover and discuss the relations between Pi(i=0,1,2,3,4) spaces and Ti(i=0,1,2,3,4) spaces.A new compact space——P-compact space is defined,and the characters of P-compact space and the relations between P-compact space and Pi-space are discussed.Thus,several conclusions are drawn.

Key words: p-cover, P-compact space, Pi(i=0,1,2,3,4) space

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