|
|||||
 |
|
|
|
|
|
|
|
Darboux
calculus
Marco Aldi and Alexander McCleary
Vol. 12 (2019), No. 3, 361–380
|
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. |
PDF Access Denied
We have not been able to recognize your IP address
3.239.129.52
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
partially ordered sets, Kan extensions, foundations of real
analysis
|
Mathematical Subject Classification 2010
Primary: 06A06, 06A11, 18B35, 26A06, 97I10
|
Milestones
Received: 6 May 2016
Revised: 20 December 2017
Accepted: 22 May 2018
Published: 14 December 2018
Communicated by Kenneth S. Berenhaut
|
Authors |
| Marco Aldi | |
| Department of Mathematics and
Applied Mathematics Virginia Commonwealth University Richmond, VA United States |
|
| Alexander McCleary | |
| Department of Mathematics Colorado State University Fort Collins, CO United States |
|
