Category theory/Related Articles: Difference between revisions
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imported>Peter Lyall Easthope m (→Examples of categories: Added the category 2) |
imported>Peter Lyall Easthope m (→Examples of categories: Moved Top into 2nd place in the list as in the original list of examples in the main article.) |
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| Line 14: | Line 14: | ||
===Examples of categories=== | ===Examples of categories=== | ||
{{r|Category of sets|'''Set'''}} | {{r|Category of sets|'''Set'''}} | ||
{{r|Category of topological spaces|'''Top'''}} | |||
{{r|http://carnot.yi.org/Category2.xhtml|'''Category 2'''}} | {{r|http://carnot.yi.org/Category2.xhtml|'''Category 2'''}} | ||
{{r|Category of functors|'''Funct'''}} | {{r|Category of functors|'''Funct'''}} | ||
{{r|Category of schemes|'''Scheme'''}} | {{r|Category of schemes|'''Scheme'''}} | ||
Revision as of 09:24, 4 December 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
- 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]
- Category 2 [r]: Sets of cardinality < 2. [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
- 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]