Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Comma categories are pretty expressive construction but apparently many mathematicians including their inventor, Dr. Lawvere, dislike the term for its non-informativeness. I was wondering if anyone would know of other intuitive nicknames for comma categories.

share|improve this question
    
For "slice" categories I think saying, "the category over $A$" is informative. In general, I don't know. –  Dylan Moreland Jul 2 '12 at 21:13
    
Knowing very little about category theory, but having looked at the Wikipedia article, if I understand correctly, the basic idea is to use morphisms as objects. Therefore "morphism category" looks like a good name to me (assuming it doesn't already have a different meaning). –  celtschk Jul 2 '12 at 21:32
    
Would en.wikipedia.org/wiki/Pythagorean_comma have anything to do with the naming convention? –  Fred Kline Jul 2 '12 at 21:55
    
I would have been utterly amazed if Pythagorean Comma could lend some intuition to the construction of comma category, but I thing there is lot more going on. –  user34942 Jul 2 '12 at 22:06
1  
@celtschk Morphism category can be construed to mean the category $\mathcal{C}^{\mathbf{2}}$ of arrows and commutative squares in $\mathcal{C}$. –  Zhen Lin Jul 2 '12 at 22:32
show 1 more comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.