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Category theory deals with abstract objects and morphisms between those objects.
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# REDIRECT Category theory
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Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows ( also called morphisms, although this term also has a specific, non category-theoretical meaning ), where these collections satisfy some basic conditions.
Category theory has several faces known not just to specialists, but to other mathematicians.
Category theory is also, in some sense, a continuation of the work of Emmy Noether ( one of Mac Lane's teachers ) in formalizing abstract processes ; Noether realized that in order to understand a type of mathematical structure, one needs to understand the processes preserving that structure.
Category theory has been applied in other fields as well.
Category: Higher category theory
simple: Category theory
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: Category: Ireland covers both the Republic of Ireland and Northern Ireland and deals with topics relating to the two jurisdictions on the island of Ireland.
This category deals with Western or: European classical music ( in contrast to folk music or: popular music ). There are also other classical music traditions in other parts of the world ; for those genres, please see: Category: Classical and art music traditions.
Category theory is a mathematical theory that deals in an abstract way with mathematical structures and relationships between them.
Category and with
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* 1915 – A Category 4 hurricane hits Galveston, Texas with winds at.
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See also the list of Acorn Electron games for a fairly comprehensive list of games published for the machine and: Category: BBC Micro and Acorn Electron games for a list of games with information on Wikipedia.
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