Category theory/Related Articles: Difference between revisions
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imported>Peter Lyall Easthope m (→Subtopics: Added a few more subtopics.) |
imported>Jitse Niesen (add examples of categories, clean up) |
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{{subpages}} | {{subpages}} | ||
==Parent topics== | ==Parent topics== | ||
{{r| | {{r|Abstract algebra}} | ||
==Subtopics== | ==Subtopics== | ||
{{r|Class}} | {{r|Class (set theory)|Class}} | ||
{{r|Initial object}} | {{r|Initial object}} | ||
{{r|Limit}} | {{r|Limit (category theory)|Limit}} | ||
{{r|Morphism}} | {{r|Morphism}} | ||
{{r|Terminal object}} | {{r|Terminal object}} | ||
{{r| | {{r|Topos theory}} | ||
{{r|Universal property}} | {{r|Universal property}} | ||
== | ==Examples of categories== | ||
{{r| | {{r|Category of sets}} | ||
{{r|Set}} | |||
{{r|Category of topological spaces}} | |||
{{r|Topological space}} | |||
{{r|Category of functors}} | |||
{{r|Category of schemes}} | |||
{{r|Scheme (mathematics)|Scheme}} | |||
==Related fields== | |||
{{r|Analysis}} | {{r|Analysis}} | ||
{{r|Automata | {{r|Automata theory}} | ||
{{r|Formal | {{r|Formal languages}} | ||
{{r|Geometry}} | {{r|Geometry}} | ||
{{r|Logic}} | {{r|Logic}} | ||
{{r|Topology}} | {{r|Topology}} | ||
==People== | |||
{{r|Samuel Eilenberg}} | |||
{{r|Saunders Mac Lane}} | |||
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==Other related topics== | |||
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Revision as of 07:44, 27 July 2008
- See also changes related to Category theory, or pages that link to Category theory or to this page or whose text contains "Category theory".
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
- Category of sets [r]: Category whose objects are sets and whose morphisms are functions between those sets. [e]
- Set [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See Set (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
- Category of topological spaces [r]: Category whose objects are topological spaces and whose morphisms are continuous functions. [e]
- Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets. [e]
- Category of functors [r]: Category whose objects are functors in another category and whose morphisms are natural transformations. [e]
- Category of schemes [r]: Add brief definition or description
- Scheme [r]: Topological space together with commutative rings for all its open sets, which arises from 'glueing together' spectra (spaces of prime ideals) of commutative rings. [e]
Related fields
- Analysis [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See Analysis (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
- 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]
People
- Samuel Eilenberg [r]: Add brief definition or description
- Saunders Mac Lane [r]: Add brief definition or description