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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