journal6 ›› 2009, Vol. 30 ›› Issue (4): 13-15.
• 数学 • 上一篇 下一篇
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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
苏发慧, 杨芹. Pi空间与P-紧空间[J]. journal6, 2009, 30(4): 13-15.
SU Fa-Hui, YANG Qin. Pi-Spaces and P-Compact Spaces[J]. journal6, 2009, 30(4): 13-15.
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https://zkxb.jsu.edu.cn/CN/Y2009/V30/I4/13