Characterising Near Continuity Constructively

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Mathematical Logic Quarterly 47 (4):535-538 (2001)
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Abstract

The relation between near continuity and sequential continuity for mappings between metric spaces is explored constructively. It is also shown that the classical implications “near continuity implies sequential continuity” and “near continuity implies apart continuity” are essentially nonconstructive

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10.1002/1521-3870(200111)47:4

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Apartness spaces as a framework for constructive topology.Douglas Bridges & Luminiţa Vîţă - 2003 - Annals of Pure and Applied Logic 119 (1-3):61-83.

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