Download A USER'S GUIDE TO DISCRETE MORSE THEORY 0. IntRoDuction
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" ( ! % % ! ! - &- &L &L 0 &L 0 C !" ! C4 *+ ( @ 0 ) ! L*+ " * " 0 " 0 + 0 " 4 ,L ( 9 " 4" ," * $ & ,+ 3 3 e 2 1 2 1 t 1 3 2 1 (i) e 2 3 (ii) .! ! 0 1 1 Æ *3<"+ :9 ; , 0 6 9 " 4" ," ) B ( L # $ < 4, < % % % % * + % % % % % % & * 0 &+ Æ * 0 Æ + " * 0 + * 0 + $ " * 0 $ + ? % A4 ) % " % % * + / " " " / %-' %B'%,4'%,,'%,B'%&B' " 1 1 0 0 / $ D G 10 $ 1 . $1 * + ," %C&' G ) %C,' %4' ," %&B' M &" %,4' ) $ $ $ < G %C&' 0 " < 4 , & " 0 %% A *4 ,+ % *4 ,+ % A *4 ,+ % *4 ,+ % *4 ,+ % < % *4,+ % *4 ,+ 0 % % *4 ,+ % A *4 ,+ % % A *4 ,+ / 4 , % % / ! L4 a connected graph 1 2 G1 a connected graph G2 % # ! % % & % % / & % ) % *4 &+ % A *4 &+ % % A *4 &+ ) & % % % *4&+ % *4 &+ < 4 , & / & % A *, &+ < % *, &+ % 0 % % *4&+ % *4 &+ 4 , & *,&+ % *, &+ 4 , & ! 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