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Friday, January 3, 2014

Chrome bug : extra unrequested border in table

The comparison map into the fibre product, i.e., pullback
\homst \setX \Set \setY \longrightarrow \source(\symsX \source\backslash \homst \setX \Set \setY\source) \times_{(\symsX \source\backslash \homst \setX \Set \setY \target/ \symtY)} \target(\homst \setX \Set \setY \target/ \symtY\target)
when \source{(\setX=[4]=\{0,1,2,3\})} and \target{(\setY=\{\elta,\eltb\})}
\SetXY \rlap{\target{{} \xrightarrow[\mkern28em]{\displaystyle t} {}}} \homst \setX \Set \setY \target/ \symtY
\elta^4 \eltb^4 0123\mid{} 4+0
\smash{\llap{s}\Bigg\downarrow} \elta^3\eltb \eltb^3\elta 012\mid3 3+1
\elta^2\eltb\elta \eltb^2\elta\eltb 013\mid2
\elta\eltb\elta^2 \eltb\elta\eltb^2 023\mid1
\eltb\elta^3 \elta\eltb^3 123\mid0
\elta^2\eltb^2,\eltb^2\elta^2 01\mid23 2+2
\elta\eltb\elta\eltb,\eltb\elta\eltb\elta 02\mid13
\elta\eltb\eltb\elta,\eltb\elta\elta\eltb 03\mid12
\begin{array}{} \symsX \source\backslash \homst \setX \Set \setY\\ \displaystyle \bigg(\mkern-.35em {\target{{\setY=\{\elta,\eltb\}}} \choose \source{|\setX|=4}} \mkern-.35em\bigg)\\ \end{array} \begin{array}{}4+0\\ \elta^4\\\end{array} \begin{array}{}0+4\\ \eltb^4\\\end{array} \begin{array}{}3+1\\ \elta^3\eltb\\\end{array} \begin{array}{}1+3\\ \elta\eltb^3\\\end{array} \begin{array}{}2+2\\ \elta^2\eltb^2\\\end{array}
4+0 3+1 2+2 \symsX \source\backslash \homst \setX \Set \setY \target/ \symtY

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