A. Robinson's sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^*R is its corollary. As its application, the paper proves a property about topology of uniform conv...A. Robinson's sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^*R is its corollary. As its application, the paper proves a property about topology of uniform convergence.展开更多
基金the Basic Research Foundation of Xi'an University Architecture Technology(JC0620)the Youth Science and Technology Foundation of Xi'an University of Architecture and Technology(QN0736)
文摘A. Robinson's sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^*R is its corollary. As its application, the paper proves a property about topology of uniform convergence.