Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


S4M
Posts:
28
From:
NYC
Registered:
12/8/12


Can Hom(A,B) be Empty in a Category?
Posted:
Dec 8, 2012 8:13 AM


Hi, All:
I am trying to see if I can define a category in which the morphisms are quotients of topolocal spaces. I don't have any special condition for choosing the objects.
Do I need to define the objects to be an ordered nested sequence ( by inclusion ) of spaces , so that, say if i<j then Xi<Xj and the quotient Xj/Xi is defined , or can I just have Hom(A,B)={ } when neither A or B are a subspace of the other?
Thanks in Advance.



