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Order theory
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Order theory is a branch of mathematics which 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".
This article introduces the field and provides basic definitions.
A list of order-theoretic terms can be found in the order theory glossary.
Contents
1 Background and motivation
2 Basic definitions
2.1 Partially ordered sets
2.2 Visualizing a poset
2.3 Special elements within an order
2.4 Duality
2.5 Constructing new orders
3 Functions between orders
4 Special types of orders
5 Subsets of ordered sets
6 Related mathematical areas
6.1 Universal algebra
6.2 Topology
6.3 Category theory
7 History
8 See also
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