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Dedekind cut
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#	Item
1	Interval Analysis Without Intervals Paul Taylor 20 February 2006 Abstract We argue that Dedekind completeness and the Heine–Borel property should be seen as part of the “algebraic” structure of the real line, along Add to Reading List Source URL: www.paultaylor.eu Language: English - Date: 2009-02-12 13:25:28 Order theory Real analysis Differential calculus Elementary mathematics Continuous function Dedekind cut Fundamental theorem of calculus Integral Least-upper-bound property Mathematical analysis Mathematics Functions and mappings
2	A localic theory of lower and upper integrals Steven Vickers School of Computer Science, University of Birmingham, Birmingham, B15 2TT, UK March 30, 2009 Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2009-03-30 13:41:15 Mathematics Valuation Dedekind cut Continuous function Construction of the real numbers Algebraic number field Abstract algebra Field theory Algebra
3	Confluent Hasse Diagrams David Eppstein and Joseph A. Simons University of California, Irvine Goal: • Improve Readability of Hasse Diagrams Add to Reading List Source URL: www.ics.uci.edu Language: English - Date: 2011-09-15 17:39:34 Structure Dedekind–MacNeille completion Hasse diagram Confluence Planar graph Dedekind cut Partially ordered set Order theory Graph theory Mathematics
4	Dedekind’s forgotten axiom and why we should teach it (and why we shouldn’t teach Add to Reading List Source URL: faculty.uml.edu Language: English - Date: 2011-05-27 10:31:26 Abstraction Dedekind cut Least-upper-bound property Completeness axiom Real number Supremum Completeness Mathematical logic Empty set Mathematics Order theory Mathematical analysis
5	Interval Analysis Without Intervals Paul Taylor 20 February 2006 Add to Reading List Source URL: www.paultaylor.eu Language: English - Date: 2009-02-12 13:25:28 Order theory Real analysis Elementary mathematics Differential calculus Dedekind cut Continuous function Integral Least-upper-bound property Fundamental theorem of calculus Mathematical analysis Mathematics Functions and mappings