问个关于复形之和的边界问题

lilianjie

X:=**x(0);
X;
X2:=
**x(1);X2;
X3:=**x(2);X3;
. o% {; g$ T( X; S+ z( U# F6 W/ AX4:=
( p) x7 F9 H: J+ w**x(3);X4;
2 \% m! D" C, r% w  I0 s7 Q' ^X5:=
7 p% [1 j$ y. k8 u0 q3 S4 Y4 ~**x(4);X5;


, k1 Q% ^" y. Q9 V0 ^) Z2 _" oXX:=Normalization(X5) ;
XX;
# _5 t- ]: x& [" JS:=Shift(XX, -2);
S;
  |$ F1 e0 C* ?5 [( q' O. [Boundary(X5) ;
) D" o( M6 Z, w3 J" C1 Y/ ?Boundary(S) ;
- j/ w0 f) x) H; `4 N% T8 iK:=S + X5;K;

  Z/ s& U# ]6 l* a, n- \0 FBoundary(K) ;

1 \) D" \8 d# p* O/ u
* v# O; i2 W  i" e4 {Simplicial complex
" G6 K5 P. S6 S8 }* }[
. j$ K4 R1 ?; d# _% f" E3 O. m    { 1 }
; Y3 G& O5 o, B, t! U/ H- U]
. c, d2 ~2 ^9 ~7 _
" ?( O: s$ u8 S6 f" xSimplicial complex
. m3 g2 P) d1 P& B; t: h; d[
9 L) X( i+ q+ _  V& M: W* G' P2 Y    { 1, 2 }
]
* d) L, _, E! T* j
Simplicial complex
[
2 S: [5 N& C" [  ~    { 1, 2, 3 }
]
( Q# x  K# U, Q4 h# Q8 L8 a
4 T# G. ?; ^0 r' qSimplicial complex
0 Q6 d0 D7 W" a% C8 N" L[
( ~0 l* w0 T9 {! o2 B, A, z( V8 }    { 1, 2, 3, 4 }
  i1 \; Y% Y# S6 E# a( ]]
$ p3 E; r# F9 B( ~0 J# X
Simplicial complex
( ?8 p+ V+ ~1 P[
    { 1, 2, 3, 4, 5 }
]

( n; |# Q! E' t3 e- I' ASimplicial complex
; m# j; n4 S- \1 _+ o2 c! D5 ?[
    { 1, 2, 3, 4, 5 }
]

+ ~3 ]8 ]9 M: M# K$ h0 n- L* vSimplicial complex
( j) M" {, T) X. @' v  S[
    { -1, 0, 1, 2, 3 }
* {) l3 _) d( n' N]
7 r( O/ o  Y+ m  F# e7 w0 f' c& t
+ O# G3 S, ?% K7 T# l- f+ r% qSimplicial complex
& Z8 R8 E! x: ^" B[
" r3 ^7 Y4 M. t  O" r" P/ p& G; C    { 1, 2, 4, 5 },
    { 1, 2, 3, 4 },
    { 1, 3, 4, 5 },
    { 1, 2, 3, 5 },
    { 2, 3, 4, 5 }
) P: R8 L  M! [* R% ~! a, ^4 i$ R]

Simplicial complex
- S2 q) w1 G9 g1 }# t[
    { -1, 0, 1, 3 },
    { -1, 1, 2, 3 },
    { 0, 1, 2, 3 },
2 o' e0 b" O7 m% N% p    { -1, 0, 1, 2 },
" p% ?- r- i6 o$ A1 r3 i% N    { -1, 0, 2, 3 }
( m6 a/ Y& ~! G* Z9 \% q]
6 R. k( K3 v$ P! F3 L% k0 Y
Simplicial complex
[
5 {3 y0 W, I: O7 ]1 ?    { 4, 5, 6, 7, 8 },
    { -1, 0, 1, 2, 3 }
]
+ I* n& Z# J9 m/ t9 \1 FSimplicial complex
3 Y; [: }9 X2 C, \3 o  `. i  [[
  g; J8 r$ S( k" M6 C2 K) L    { 0, 1, 2, 3 },
1 ^: P$ U! a! Y+ n* E' S    { 4, 5, 6, 8 },
    { 4, 5, 7, 8 },
    { 5, 6, 7, 8 },
    { -1, 0, 1, 3 },
    { -1, 0, 2, 3 },
    { 4, 5, 6, 7 },
: Q# P0 H5 \0 d: _" e9 B    { 4, 6, 7, 8 },
/ h" W( d" ^" I3 g! _. [  P# f0 P    { -1, 0, 1, 2 },
    { -1, 1, 2, 3 }
+ N$ R: \2 F& q/ M5 w]
6 |- ]4 ^* c" H6 D  s

边界之和是怎样算出的？
! S, l" ^; e# ]& M* I- ?    { 4, 5, 6, 7, 8 },
, @3 x8 s1 [: |& e" O    { -1, 0, 1, 2, 3 }

6 X1 I/ b  s9 ]6 Z, B9 C
3 ?' E  y# A' E( o4 B