Geodesic
Cousin's theorem and two other basic properties equivalent to it
The Teaching of Mathematics, XVIII (2015) no. 2, p. 81 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We present direct proofs of the equivalence between both the compactness and the connectedness of the interval $[a,b]$ and the Cousin's theorem in ways that allow their beauty to go through.
Classification : 97I20 I25
Keywords: cousin's theorem, compactness, connectedness 
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Haryono Tandra. Cousin's theorem and two other basic properties equivalent to it. The Teaching of Mathematics, XVIII (2015) no. 2, p. 81 . http://geodesic.mathdoc.fr/item/TM2_2015_XVIII_2_a2/