Better graphics
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3046e91979
commit
f945518a0a
1 changed files with 23 additions and 22 deletions
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@ -95,7 +95,7 @@ C -> C [label="idC"]
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From this graph we can conclude without any ambiguity that:
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\\[ob(C)={A,B,C}\\]
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\\[ob(C)=\\{A,B,C\\}\\]
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and
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\\[\hom(C)=\\{f,g,h,idA,idB,idC\\}\\]
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@ -117,15 +117,17 @@ g[label="", fixedsize="false", width=0,height=0,shape=none];
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B -> g[label="g", arrowhead=None]
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g -> C
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fg [label="", fixedsize="false", width=0,height=0,shape=none];
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AC [label="", fixedsize="false", width=0,height=0,shape=none];
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f -> fg [style=dashed,arrowhead=None]
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fg -> g [style=dashed,arrowhead=None]
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A -> AC [label="g∘f",arrowhead=None]
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f -> fg [color="#b58900",style=dashed,arrowhead=None]
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fg -> g [color="#b58900",style=dashed,arrowhead=None]
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fg -> AC [label="h=g∘f",colorlabel="#b58900",color="#b58900",style=bold]
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A -> AC [label="h",arrowhead=None]
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AC -> C
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fg -> AC [style=bold]
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</graph>
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@ -154,31 +156,30 @@ fg[label="", fixedsize="false", width=0,height=0,shape=none];
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fpg[label="", fixedsize="false", width=0,height=0,shape=none];
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fgp[label="", fixedsize="false", width=0,height=0,shape=none];
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fpgp[label="", fixedsize="false", width=0,height=0,shape=none];
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AC[label="", fixedsize="false", width=0,height=0,shape=none];
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ApCp[label="", fixedsize="false", width=0,height=0,shape=none];
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f -> fg [style=dashed,arrowhead=None]
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fg -> g [style=dashed,arrowhead=None]
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f -> fg [color="#dc322f",style=dashed,arrowhead=None]
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fg -> g [color="#dc322f",style=dashed,arrowhead=None]
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fg -> AC [color="#dc322f",style=bold,label="h=g∘f"]
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fp -> fpg [style=dashed,arrowhead=None]
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fpg -> g [style=dashed,arrowhead=None]
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fp -> fpgp [color="#d33682",style=dashed,arrowhead=None]
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fpgp -> gp [color="#d33682",style=dashed,arrowhead=None]
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fpgp -> AC [color="#d33682",style=bold,label="h=g'∘f'"]
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f -> fgp [style=dashed,arrowhead=None]
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fgp -> gp [style=dashed,arrowhead=None]
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fp -> fpg [color="#268bd2",style=dashed,arrowhead=None]
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fpg -> g [color="#268bd2",style=dashed,arrowhead=None]
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fpg -> ApCp [color="#268bd2",style=bold,label="h'=g∘f'"]
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fp -> fpgp [style=dashed,arrowhead=None]
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fpgp -> gp [style=dashed,arrowhead=None]
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f -> fgp [color="#b58900",style=dashed,arrowhead=None]
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fgp -> gp [color="#b58900",style=dashed,arrowhead=None]
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fgp -> ApCp [color="#b58900",style=bold,label="h'=g'∘f"]
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A -> AC [label="h=g∘f=g'∘f'",arrowhead=None]
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A -> AC [label="h",arrowhead=None]
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AC -> C
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A -> ApCp [label="h'=g'∘f=g∘f'",arrowhead=None]
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A -> ApCp [label="h'",arrowhead=None]
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ApCp -> C
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fg -> AC [style=bold]
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fpgp -> AC [style=bold]
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fpg -> ApCp [style=bold]
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fgp -> ApCp [style=bold]
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</graph>
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