Three Proofs of Tychonoff’s Theorem

Étienne Matheron (1)

1 UA - Université d'Artois

We give three proofs of Tychonoff’s theorem on the compactness of a product of compact topological spaces. The first one proceeds “from scratch.” The second one relies on the characterization of compactness in terms of convergent subnets. The third one has a “categorical” flavor.

Mots clés: dissemin

Domaines: Mathématiques [math]

Étienne Matheron. Three Proofs of Tychonoff’s Theorem. The American Mathematical Monthly, 2020, 127 (5), pp.437-443. ⟨10.1080/00029890.2020.1718951⟩. ⟨hal-03660150⟩