On theorems of Tychonoff, Alexander, and R. Rado
On theorems of Tychonoff, Alexander, and R. Rado
It is well known [4], [7] that the Tychonoff theorem on products of compact spaces is equivalent to the axiom of choice (AC). It is therefore natural to consider Tychonoff's theorem for products of finite spaces as a restricted form of AC, and to ask whether there are other restricted …