Tychonoff Theorem and the axiom of choice

Question

How to show that

The Tychonoff Theorem and the axiom of choice are equivalent?

Here I want to collect ways to prove it.

Thanks for your help.

You seem to be thinking that MSE is some "proof dictionary" where you can collect and classify proofs of certain propositions. There is one standard proof which appears on Wikipedia, and was given on this site not too long ago. — Asaf Karagila, Apr 25 '13 at 07:12

score 3 · Accepted Answer · answered Apr 25 '13 at 17:45

3

Hint: J. Terilla, Tychonoff’s Theorem, P7.

Theorem 9. The Tychonoff theorem $‎\Leftrightarrow‎$ the axiom of choice .

answered Apr 25 '13 at 17:45

M.Sina

4

In what sense is this a hint? – Martin Apr 25 '13 at 22:16
@Martin: I've just referred Paul to see this sheets because I can't explain all the details to him. – M.Sina Apr 26 '13 at 03:43

1 Answers1