Tychonoff’s theorem as a direct application of Zorn’s lemma

نویسنده

  • Haruo Tsukada
چکیده

A simple proof of Tychonoff’s theorem (the compactness of the product of compact spaces) as a direct application of Zorn’s lemma is given. In contrast to the classical Cartan-Bourbaki proof which uses Zorn’s lemma twice, our proof uses it only once.

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تاریخ انتشار 2014