coproducts in Category of pointed sets
- From: leo1476@xxxxxxxxxxx
- Date: 5 Nov 2005 12:35:31 -0800
Dear all,
Let S be any set; let x be an element of S. Then (S, x) is a pointed
set. Morphisms between pointed sets f: (S, x) --> (S', x') are defined
as x |--> x'.
Now, in the category of pointed sets "POINT", how does one define a
co-product for an arbitrary family of pointed sets S_i ?
I am able to easily define a "product" in this category, but cannot
seem to find a way to define a "coproduct", although, I know that they
exist.
It is a homework problem, and I should like no more than good hints.
Will someone help me?
Thanks a lot.
L
.
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