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Order theory

Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing statements such as "this is less than that" or "this precedes that".

History, Background and motivation & Basic definitions

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Overview

Background and motivation

History

Basic definitions

Functions between orders

Special types of orders

Subsets of ordered sets

Related mathematical areas

Advanced semantic analysis

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Map overview Semantic statistics

Order theory

Nodes156
Edges155
Triples54
Avg. degree1.99
Density0.012821
Components1

How this topic connects Entity context

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Order theory

Top relations

related to Topology · 16
Order theory → Additionally, Alexandrov, Beyond, Considering, Conversely, Filters, For, Furthermore, Heyting, In, Lawson, Scott, Scott-continuity, T0, The, There
related to Category theory · 11
Order theory → Another, Dropping, For, Functions, Galois, Hasse, In, Many, More, The, When
related to history · 8
Order theory → Charles Sanders Peirce, Contributors, Ernst Schröder, George Boole, In, Moreover, Richard Dedekind, The
related to Duality · 7
Order theory → Every, For, Hasse, In, Since, Some, This
related to Special types of orders · 7
Order theory → Each, In, Mainly, Many, Preorders, Requiring, Several
related to Related mathematical areas · 2
Order theory → Although, Together
see also · 2
Order theory → Causal, Incidence
is a · 1
Order theory → branch of mathematics that investigates the intuitive notion of order using binary relations

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Important terminology

order orders sets elements set example theory one numbers functions also two subset least given ordered poset topology relation many

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Order theoryis abranch of mathematics that investigates the intuitive notion of order using binary relations0.90text
Order theoryrelated to Category theoryThe0.60section
Order theoryrelated to Category theoryHasse0.60section
Order theoryrelated to Category theoryIn0.60section
Order theoryrelated to Category theoryDropping0.60section
Order theoryrelated to Category theoryWhen0.60section
Order theoryrelated to Category theoryFunctions0.60section
Order theoryrelated to Category theoryMany0.60section
Order theoryrelated to Category theoryFor0.60section
Order theoryrelated to Category theoryMore0.60section
Order theoryrelated to Category theoryAnother0.60section
Order theoryrelated to Category theoryGalois0.60section

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