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In [[category theory]], a category with a [[terminal object]] <math>1</math> is '''well-pointed''' if for every pair of arrows <math>f,g:A\to B</math> such that <math>f\neq g</math>, there is an arrow <math>p:1\to A</math> such that <math>f\circ p\neq g\circ p</math>. (The arrows <math>p</math> are called the [[global element]]s or ''points'' of the category; a well-pointed category is thus one that has "enough points" to distinguish non-equal arrows.)
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==See also==
* [[Pointed category]]
 
==Reference==
* {{cite book | title=Nominal Sets: Names and Symmetry in Computer Science | volume=57 | series=Cambridge Tracts in Theoretical Computer Science | first=Andrew M. | last=Pitts | publisher=[[Cambridge University Press]] | year=2013 | isbn=1107017785 | page=16 }}
 
[[Category:Category theory]]
 
 
{{Categorytheory-stub}}

Latest revision as of 21:46, 23 October 2014

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