The Topologically Ordered Field in Ultraproduct  

超积拓扑有序域

作　　者：张翔[1] 孙怀宪 黄小平 

机构地区：[1]西北师范大学

出　　处：《Chinese Quarterly Journal of Mathematics》1990年第4期66-71,共6页数学季刊（英文版）

摘　　要：This paper can be served as a natural and wide popularization of the theory of non-standard real number. When all the (X_i, +, ·, ≤, )(i∈I) are topologically ordered fields, three structures, algebraic structure+and ·, ordered structure ≤ and topological structure (F)~D respectively, can be established in ultraproduct. It can be proved that is the topologically ordered field (also called the topologically ordered field in ultraproduct). And under proper conditions, every fixed X_ican be embedded in X_i and becomes a proper subtopologically ordered field of .

关 键 词：超积 拓扑有序域 超积拓扑 超滤子 

分 类 号：O189.1[理学—数学]