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A mathematical object is said to be canonical if it arises in a natural way without introducing any additional objects.
- Suppose $A\times B$ is the Cartesian product of sets $A,B$ . Then $A\times B$ has two canonical projections $A\times B\to A$ and $A\times B\to B$ defined in a natural way. Of course, if we assume more structure of $A,B$ there are also other projections.
- canonical projection (in group theory)
For a discussion of the theological use of canonical, see [1].
- 1
- Wikipedia, article on canonical.
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"canonical" is owned by mathcam. [ owner history (1) ]
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Cross-references: theory, group, projections, structure, Cartesian product, object
There are 96 references to this entry.
This is version 3 of canonical, born on 2004-10-16, modified 2004-10-17.
Object id is 6379, canonical name is Canonical.
Accessed 9765 times total.
Classification:
| AMS MSC: | 00A20 (General :: General and miscellaneous specific topics :: Dictionaries and other general reference works) |
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