| 引用本文: | 余滨.Tychonoff定理的又一个证法.[J].国防科技大学学报,1982,(2):113-116.[点击复制] |
| Yu Bin.Another Proof of Tychonoff Theorem[J].Journal of National University of Defense Technology,1982,(2):113-116[点击复制] |
|
| |
|
|
| 本文已被：浏览 5412次 下载 5293次 |
| Tychonoff定理的又一个证法 |
| 余滨 |
|
()
|
| 摘要: |
| 本文给出了Tychoncff定理的又一个证法。在证明中，我们基于Zorn引理，利用紧空间的等价命题之一——任一网都有丛点——来证明的。首先，我们引进了万有网的概念，并给出了一个例子。其次，我们证明了万有网的几个性质(即引理 1 ，2 ，3 ，4)。最后，我们证明了一般拓扑学中著名的定理--Tychonoff 定理。 |
| 关键词: |
| DOI： |
| 投稿日期：1982-03-22 |
| 基金项目: |
|
| Another Proof of Tychonoff Theorem |
| Yu Bin |
| Abstract: |
| This paper gives out another proof for Tychonoff Theorem. In proof，we based on Zorn's lemma，make use of that any net there is a cluster point，that is one of the equivalent propesitions of compact space，First，we lead in a concept of univesal net，and give out an example for it. Then，we proved a few properties of universal net (That is lemma 1，2，3, 4,). At the end，we proved Tychonoff Theorem，a famous theorem in general topology. |
| Keywords: |
|
|
