# Well-powered category

From Encyclopedia of Mathematics

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2010 Mathematics Subject Classification: *Primary:* 18A05 [MSN][ZBL]

A category in which the subobjects of each object may be indexed by a set.

The dual notion is a *co-well-powered* category.

#### References

[1] | Saunders Mac Lane, Categories for the Working Mathematician, Graduate Texts in Mathematics 5, Springer (1998) ISBN 0-387-98403-8 Zbl 0906.18001 |

**How to Cite This Entry:**

Well-powered category.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Well-powered_category&oldid=42558