Categorical semantics
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== Categories recalled == |
== Categories recalled == |
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| + | See <ref>{{BibEntry|bibtype=book|author=MacLane, Saunders|title=Categories for the Working Mathematician|publisher=Springer Verlag,year=1971,volume=5,series=Graduate Texts in Mathematics}}</ref>for a more detailed introduction to category theory. |
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=== Monoidal categories === |
=== Monoidal categories === |
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commute. |
commute. |
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| + | == References == |
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| + | <references /> |
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Revision as of 19:01, 23 March 2009
TODO: why categories? how to extract categorical models? etc.
Categories recalled
See [1]for a more detailed introduction to category theory.
Monoidal categories
Definition (Monoidal category)
A monoidal category 
is a category 
equipped with
- a functor
called tensor product,
- an object I called unit object,
- three natural isomorphisms of components
called respectively associator, left unitor and right unitor,
such that
- for every objects A,B,C,D in , the diagram
commutes,
- for every objects A and B in , the diagrams
commute.
References
- ↑ MacLane, Saunders. Categories for the Working Mathematician.
