PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: No information on entry rating
category of sets (Definition)

The category of sets has as its objects all sets and as its morphisms functions between sets. (This works if a category's objects are only required to be part of a class, as the class of all sets exists.)

Alternately one can specify a universe, containing all sets of interest in the situation, and take the category to contain only sets in that universe and functions between those sets.



"category of sets" is owned by rspuzio. [ full author list (2) | owner history (1) ]
(view preamble)

View style:

See Also: category


Attachments:
monomorphisms of category of sets (Theorem) by rspuzio
Log in to rate this entry.
(view current ratings)

Cross-references: contain, universe, class, category's, functions, morphisms, objects
There are 23 references to this entry.

This is version 2 of category of sets, born on 2002-02-10, modified 2007-12-06.
Object id is 1895, canonical name is CategoryOfSets.
Accessed 7369 times total.

Classification:
AMS MSC18B05 (Category theory; homological algebra :: Special categories :: Category of sets, characterizations)

Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)