Difference between revisions of "Wedge (category theory)"

Latest revision as of 23:00, 28 February 2016

Note: the page Cone and cocone compared redirects here as this is basically a discussion page on how the two differ (which exists because of the page Product and coproduct compared)

For a pair of objects $A$ and $B$ in a category $\mathscr{C}$ we define^[1]:

Wedge to the pair $A$ , $B$	Wedge from the pair $A$ , $B$
is an object $X$ in $\mathscr{C}$ together with a pair of arrows (also from $\mathscr{C}$ ) as follows:
$\xymatrix{ & A \\ X \ar[ur] \ar[dr] & \\ & B}$	$\xymatrix{A \ar[dr] & \\ & X \\ B \ar[ur] & }$
(AKA: cone)	(AKA: cocone)

@@ Line 1: / Line 1: @@
-:: '''Note: ''' the page [[Cone and cocone compared]] redirects here as this is basically a discussion page on how the two differ (which exists because of the page [[Products and coproducts compared]])
+:: '''Note: ''' the page [[Cone and cocone compared]] redirects here as this is basically a discussion page on how the two differ (which exists because of the page [[Product and coproduct compared]])
 __TOC__
 ==Definition==