Radon空间的非标准表示

The Non-standard Representations of Radon Spaces

中文关键词:  S-空间  Radon空间  扩大  Loeb空间

英文关键词:S-space  Radon space  enlargement  Loeb space.

中文摘要:

      证明了在扩大的非标准模型中S-空间可完全表示Radon空间并讨论了S-空间的若干性质.还给出一个有限Borel测度空间为Radon空间的充要条件.最后证明了Radon空间的一个＊-有限表示定理.

英文摘要:

      In this paper, we prove that, with enlarged model, S-spaces can completely represent Radon spaces. A sufficient and necessary condition whenever a finite Borel measure is the Radon measure is given. We also present some properties of S-space. Finally, we prove a star-finite representation theorem of Radon space.