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arXiv · 1605.01811

Darboux Calculus

Marco Aldi·Alexander McCleary
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Abstract

We introduce a formalism to analyze partially defined functions between ordered sets. We show that our construction provides a uniform and conceptual approach to all the main definitions encountered in elementary real analysis including Dedekind cuts, limits and continuity.

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Marco Aldi, Alexander McCleary. 2017-12-20. Darboux Calculus. https://doi.org/10.2140/involve.2019.12.361

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