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[]\OT1/cmr/m/n/12 The fol-low-ing propo-si-tion sum-marises our char-ac-ter-i-z
a-tion of $\OMS/cmsy/m/n/12 ^^Y[]$ \OT1/cmr/m/n/12 via zig-zag fam-i-lies in Le
mma 3.10[],
 []

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\OT1/cmr/m/n/12 con-sider the re-duc-tions $\OML/cmm/m/it/12 P \OT1/cmr/m/n/12 
: \OML/cmm/m/it/12 t[]K[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 K[]u\OT1/cmr/m/n/12 
)[]\OML/cmm/m/it/12 K[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 K[]o\OT1/cmr/m/n/12 )[
]\OML/cmm/m/it/12 K[]b$ \OT1/cmr/m/n/12 and $\OML/cmm/m/it/12 Q \OT1/cmr/m/n/12
 : \OML/cmm/m/it/12 t[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^Ux:K[]\OT1/cmr/m/n/1
2 (\OML/cmm/m/it/12 xo\OT1/cmr/m/n/12 ))\OML/cmm/m/it/12 K[][]\OT1/cmr/m/n/12 (
\OML/cmm/m/it/12 ^^Ux:a\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 K[]$\OT1/cmr/m/n/12 ,
 []

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! Commutative Diagram: badly drawn diagonals (see manual) at lines 2492--2499
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Commutative Diagram: try the PostScript option for better results
[32] (SYS-C98-04JA.aux) ) 
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Output written on SYS-C98-04JA.dvi (35 pages, 177820 bytes).