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essential subcategory

(Definition)

Definition 0.1. A category ℬE is defined as an essential subcategory of category 𝒜 if every object of 𝒜 is isomorphic to some object of ℬE.

References

[1]   Paul Taylor. “Practical Foundations of Mathematics.”, Cambridge University Press, 1999. (see also categories, functors and pseudo-functors).


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Cross-references: category

This is version 1 of essential subcategory, born on 2009-03-19.
Object id is 600, canonical name is EssentialSubcategory.
Accessed 1592 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)

Pending Errata and Addenda

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