摘要
The Infintesimal Prolongation Theorem is extended from sequences to nets in κ-saturated nonstandard model. As its application, a main property about the topology of uniform convergence is proved. The proof is much simpler than it was; meanwhile, the nonstandard characteristics of convergence with respect to u.c. topology are given.
The Infintesimal Prolongation Theorem is extended from sequences to nets in κ-saturated nonstandard model. As its application, a main property about the topology of uniform convergence is proved. The proof is much simpler than it was; meanwhile, the nonstandard characteristics of convergence with respect to u.c. topology are given.
基金
Procject supported by the Special Science Foundation (00jk207) of the Educational Committee of Shaanxi Province, China
