Fiber product
Revision as of 20:47, 13 May 2008 by Boy Soprano II (talk | contribs) (New page: The '''fiber product''', also called the '''pullback''' is an idea in category theory which occurs in many areas of mathematics. == Definition == Let <math>X</math>, <math>Y</math>, ...)
The fiber product, also called the pullback is an idea in category theory which occurs in many areas of mathematics.
Definition
Let 
, 
, and 
be structures of the same species; let 
and 
be homomorphisms of this species of structure. Then the fiber product of and with respect to , denoted 
(when the specific functions 
and 
are clear) is the set of elements 
in the product 
in which 
.
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