Difference between revisions of "Bimorphism"

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(Created page with "==Definition== A ''bimorphism'' is a morphism or arrow in a category {{M|\mathscr{C} }}{{rITCTHS}}: * {{M|\xymatrix{ A \ar[r]^f & B} }} That is * both monic (cat...")
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Revision as of 22:43, 3 February 2016

Definition

A bimorphism is a morphism or arrow in a category [ilmath]\mathscr{C} [/ilmath]Template:RITCTHS:

  • [ilmath]\xymatrix{ A \ar[r]^f & B} [/ilmath]

That is

Warning:A bimorphism need not be an isomorphism, when all bimorphisms in [ilmath]\mathscr{C} [/ilmath] are isomorphisms however, we say that [ilmath]\mathscr{C} [/ilmath] is balanced [math]\sum^\infty_{n=1}[/math]



TODO: Finish page off