Difference between revisions of "Fiber product"
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| − | The '''fiber product''', also called the '''pullback''' is an idea in [[category theory]] which occurs in many areas of mathematics. | + | The '''fiber product''', also called the '''pullback''', is an idea in [[category theory]] which occurs in many areas of mathematics. |
== Definition == | == Definition == | ||
Revision as of 20:20, 28 May 2008
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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