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2019 Darboux calculus
Marco Aldi, Alexander McCleary
Involve 12(3): 361-380 (2019). DOI: 10.2140/involve.2019.12.361

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.

Citation

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Marco Aldi. Alexander McCleary. "Darboux calculus." Involve 12 (3) 361 - 380, 2019. https://doi.org/10.2140/involve.2019.12.361

Information

Received: 6 May 2016; Revised: 20 December 2017; Accepted: 22 May 2018; Published: 2019
First available in Project Euclid: 5 February 2019

zbMATH: 07033136
MathSciNet: MR3905335
Digital Object Identifier: 10.2140/involve.2019.12.361

Subjects:
Primary: 06A06, 06A11, 18B35, 26A06, 97I10

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 3 • 2019
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