摘要
引入 θ-拓扑和 θ-良紧的概念 ,并对其作了较深刻的研究 ,主要结果有 :( 1 ) θ-良紧是半正则性质和 L好的推广 ;( 2 ) θ-良紧是弱同胚不变性质 ;( 3)满层 θ-良紧空间与 θ-良紧空间的积空间是θ-良紧 ;( 4 )对于弱诱导空间 ( LX,δ) ,它是θ-良紧当且仅当它的底空间 ( X,[δ])是θ-紧。
The notions of θ-topology and θ-N-Compactness are introduced and researched. Main results: (1) θNcompactness is a semi regular property and on L good extension. (2) θ N compactness ia an invariant of weak homomorphisms. (3) The product space of a full θ N compact space and a N compact space is a θ N compact space. (4) For ever weakly induced space (L X,δ),it is θ Ncompact iff its underlying space (X,[δ]) is θcompact. These results show that θ Ncompactness has some good properties.
出处
《模糊系统与数学》
CSCD
2000年第2期30-37,共8页
Fuzzy Systems and Mathematics
