%0 Journal Article %A Rodríguez Salinas, Baltasar %A Bombal Gordón, Fernando %T The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: a new proof. Equivalent propositions %D 1973 %@ 0010-0757 %U https://hdl.handle.net/20.500.14352/64735 %X The main result of this paper is expressed by its title. The authors also show that the Tihonov product theorem for compact Hausdorff spaces is logically equivalent to some basic theorems in topology and functional analysis, commonly proved using the axiom of choice %~