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超积空间初探
引用本文:孙怀宪,张翔,康丽.超积空间初探[J].西北师范大学学报,1988(3).
作者姓名:孙怀宪  张翔  康丽
摘    要:本文建立了超积的拓扑结构并提出了超积空间的概念,探讨超积空间的性质,进而证明文3]中所建立的超积的代数结构和本文建立的拓扑结构在某些条件下是相容的。

关 键 词:超积空间  拓扑群  拓扑域  开超网

A Preliminary Study of Ultraproduct Spaces
Sun Huaixian,Zhang Xiang,Kang Li.A Preliminary Study of Ultraproduct Spaces[J].Journal of Northwest Normal University Natural Science (Bimonthly),1988(3).
Authors:Sun Huaixian  Zhang Xiang  Kang Li
Institution:Sun Huaixian;Zhang Xiang;Kang Li
Abstract:This paper intends to establish topological construction of ultraproduct and puts forward the concept of ultraproduct spaces with detailed discussion of its to- pological property. The paper also proceeds to prove that the algebraic construc- tion of ultraproduct (as stated in the article 3] is compatible with topological construction (as shown in this paper) under certain conditions.
Keywords:ultraproduct spaces  topological group  topological field  open ultra-net
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