THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Cousin's theorem and two other basic properties equivalent to it
Haryono Tandra

Abstract

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.

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Keywords: Cousin's theorem; compactness; connectedness.

Pages:  81$-$83     

Volume  XVIII ,  Issue  2 ,  2015