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essential subcategory (Definition)
Definition 0.1   A category $\mathcal{B}_E$ is defined as an essential subcategory of a (larger) category $\mathcal{A}$ if every object of $\mathcal{A}$ is isomorphic to some object of $\mathcal{B}_E$ .

Bibliography

1
Paul Taylor. ``Practical Foundations of Mathematics.'', Cambridge University Press, 1999. (see also categories, functors and pseudo-functors).



"essential subcategory" is owned by bci1.
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See Also: category

Keywords:  essential subcategory, category
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Cross-references: isomorphic, object, category

This is version 6 of essential subcategory, born on 2008-10-04, modified 2009-06-04.
Object id is 11139, canonical name is EssentialSubcategory.
Accessed 429 times total.

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AMS MSC: 18-00 (Category theory; homological algebra :: General reference works )
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