RT Journal Article T1 The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: a new proof. Equivalent propositions A1 Rodríguez Salinas, Baltasar A1 Bombal Gordón, Fernando AB 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 PB Springer SN 0010-0757 YR 1973 FD 1973 LK https://hdl.handle.net/20.500.14352/64735 UL https://hdl.handle.net/20.500.14352/64735 LA eng DS Docta Complutense RD 8 abr 2025