Category theory/Related Articles: Difference between revisions

Revision as of 09:52, 21 September 2008

Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. ^[e]

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

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]

@@ Line 13: / Line 13: @@
 ==Examples of categories==
-{{r|Category of sets}}
+{{r|Category of sets|'''Set'''}}
-{{r|Set}}
+{{r|Category of topological spaces|'''Top'''}}
-{{r|Category of topological spaces}}
+{{r|Category of functors|'''Funct'''}}
-{{r|Topological space}}
+{{r|Category of schemes|'''Scheme'''}}
-{{r|Category of functors}}
-{{r|Category of schemes}}
-{{r|Scheme (mathematics)|Scheme}}
 ==Related fields==