Double sequences, almost Cauchyness and BD-N

Berger, Josef; Bridges, Douglas; Palmgren, Erik

doi:10.1093/jigpal/jzr045

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Double sequences, almost Cauchyness and BD-N

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Abstract

It is shown that, relative to Bishop-style constructive mathematics, the boundedness principle BD-N is equivalent both to a general result about the convergence of double sequences and to a particular one about Cauchyness in a semi-metric space.

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Double sequences, almost Cauchyness and BD-N

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Double sequences, almost Cauchyness and BD-N

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