Geodesic
Cousin's theorem and two other basic properties equivalent to it
The Teaching of Mathematics, XVIII (2015) no. 2, p. 81 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{TM2_2015_XVIII_2_a2,
     author = {Haryono Tandra},
     title = {Cousin's theorem and two other basic properties equivalent to it},
     journal = {The Teaching of Mathematics},
     pages = {81 },
     year = {2015},
     volume = {XVIII},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2015_XVIII_2_a2/}
}
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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/