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Category theory/Related Articles
From Citizendium
- See also changes related to Category theory, or pages that link to Category theory or to this page or whose text contains "Category theory".
Contents
Parent topics
- Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. ^{[e]}
Subtopics
- Class [r]: Add brief definition or description
- Initial object [r]: Add brief definition or description
- Limit [r]: Add brief definition or description
- Morphism [r]: Add brief definition or description
- Terminal object [r]: Add brief definition or description
- Topos theory [r]: Add brief definition or description
- Universal property [r]: Add brief definition or description
Examples of categories
- Set [r]: Category whose objects are sets and whose morphisms are functions between those sets. ^{[e]}
- Top [r]: Category whose objects are topological spaces and whose morphisms are continuous functions. ^{[e]}
- Funct [r]: Category whose objects are functors in another category and whose morphisms are natural transformations. ^{[e]}
- Scheme [r]: Add brief definition or description
Related fields
- Mathematical Analysis [r]: Add brief definition or description
- Automata theory [r]: Add brief definition or description
- Formal languages [r]: Add brief definition or description
- Geometry [r]: The mathematics of spacial concepts. ^{[e]}
- Logic [r]: The study of the standards and practices of correct argumentation. ^{[e]}
- Topology [r]: A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression). ^{[e]}