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essential subcategory (Definition)
Definition 0.1   A category $\mathcal{B}_E$ is defined as an essential subcategory of 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).



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Cross-references: object, category

This is version 1 of essential subcategory, born on 2009-03-19.
Object id is 600, canonical name is EssentialSubcategory.
Accessed 306 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
Pending Errata and Addenda
None.
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