diff --git a/00_Introduction.lhs b/00_Introduction.lhs index 954e581..b65e01c 100644 --- a/00_Introduction.lhs +++ b/00_Introduction.lhs @@ -95,7 +95,7 @@ C -> C [label="idC"] From this graph we can conclude without any ambiguity that: -\\[ob(C)={A,B,C}\\] +\\[ob(C)=\\{A,B,C\\}\\] and \\[\hom(C)=\\{f,g,h,idA,idB,idC\\}\\] @@ -117,15 +117,17 @@ g[label="", fixedsize="false", width=0,height=0,shape=none]; B -> g[label="g", arrowhead=None] g -> C -fg[label="", fixedsize="false", width=0,height=0,shape=none]; -AC[label="", fixedsize="false", width=0,height=0,shape=none]; -f -> fg [style=dashed,arrowhead=None] -fg -> g [style=dashed,arrowhead=None] -A -> AC [label="g∘f",arrowhead=None] +fg [label="", fixedsize="false", width=0,height=0,shape=none]; +AC [label="", fixedsize="false", width=0,height=0,shape=none]; + +f -> fg [color="#b58900",style=dashed,arrowhead=None] +fg -> g [color="#b58900",style=dashed,arrowhead=None] +fg -> AC [label="h=g∘f",colorlabel="#b58900",color="#b58900",style=bold] + +A -> AC [label="h",arrowhead=None] AC -> C -fg -> AC [style=bold] @@ -154,31 +156,30 @@ fg[label="", fixedsize="false", width=0,height=0,shape=none]; fpg[label="", fixedsize="false", width=0,height=0,shape=none]; fgp[label="", fixedsize="false", width=0,height=0,shape=none]; fpgp[label="", fixedsize="false", width=0,height=0,shape=none]; - AC[label="", fixedsize="false", width=0,height=0,shape=none]; ApCp[label="", fixedsize="false", width=0,height=0,shape=none]; -f -> fg [style=dashed,arrowhead=None] -fg -> g [style=dashed,arrowhead=None] +f -> fg [color="#dc322f",style=dashed,arrowhead=None] +fg -> g [color="#dc322f",style=dashed,arrowhead=None] +fg -> AC [color="#dc322f",style=bold,label="h=g∘f"] -fp -> fpg [style=dashed,arrowhead=None] -fpg -> g [style=dashed,arrowhead=None] +fp -> fpgp [color="#d33682",style=dashed,arrowhead=None] +fpgp -> gp [color="#d33682",style=dashed,arrowhead=None] +fpgp -> AC [color="#d33682",style=bold,label="h=g'∘f'"] -f -> fgp [style=dashed,arrowhead=None] -fgp -> gp [style=dashed,arrowhead=None] +fp -> fpg [color="#268bd2",style=dashed,arrowhead=None] +fpg -> g [color="#268bd2",style=dashed,arrowhead=None] +fpg -> ApCp [color="#268bd2",style=bold,label="h'=g∘f'"] -fp -> fpgp [style=dashed,arrowhead=None] -fpgp -> gp [style=dashed,arrowhead=None] +f -> fgp [color="#b58900",style=dashed,arrowhead=None] +fgp -> gp [color="#b58900",style=dashed,arrowhead=None] +fgp -> ApCp [color="#b58900",style=bold,label="h'=g'∘f"] -A -> AC [label="h=g∘f=g'∘f'",arrowhead=None] +A -> AC [label="h",arrowhead=None] AC -> C -A -> ApCp [label="h'=g'∘f=g∘f'",arrowhead=None] +A -> ApCp [label="h'",arrowhead=None] ApCp -> C -fg -> AC [style=bold] -fpgp -> AC [style=bold] -fpg -> ApCp [style=bold] -fgp -> ApCp [style=bold]