Timeline for compact elements and continuous functors
Current License: CC BY-SA 3.0
3 events
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Apr 11, 2011 at 5:56 | comment | added | Ben Sprott | Hey, It looks like I am interested in yet a higher level of abstraction. When I asked about finitely present categories, I was being specific. I mean that categories themselves could be the elements of the domain. I apologize for the roughness with which I am speaking. I think the intuition I am working on is borrowed from the fact that the set of endomaps of a domain is also a domain. This is, itself, a path of abstraction. If the categories are the elements of the domain, then the compact objects which Todd talks aobut can be abstracted up into compact categories. | |
Apr 8, 2011 at 6:27 | comment | added | Mike Shulman | Functors that preserve filtered colimits are often called "finitary". | |
Apr 8, 2011 at 1:36 | history | answered | Finn Lawler | CC BY-SA 3.0 |