问个关于复形之和的边界问题

lilianjie

X:=**x(0);
/ T% ?" B  G9 |( r( s4 ]X;
X2:=
**x(1);X2;
" ?+ U$ p" Z5 J; A# LX3:=**x(2);X3;
4 E) B6 S7 G* V/ p0 e  q( b; oX4:=
**x(3);X4;
& C& h+ |# T. O$ N7 m" }X5:=
: g5 }4 y' p6 B2 j& n0 _**x(4);X5;
6 {1 f7 c3 n: F1 u

: J% R: h0 D9 {XX:=Normalization(X5) ;
XX;
S:=Shift(XX, -2);
- b3 g3 i8 u3 H) _S;
Boundary(X5) ;
) o8 H& g/ y" |! UBoundary(S) ;
K:=S + X5;K;

Boundary(K) ;

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Simplicial complex
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Simplicial complex
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Simplicial complex
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  n7 ~# f$ k8 Y6 A: x. Y- ?0 o% K    { 1, 2, 4, 5 },
6 a9 Q- h( Y2 j, C5 ^    { 1, 2, 3, 4 },
0 Q% p7 o) b- g% S3 @1 A( y    { 1, 3, 4, 5 },
    { 1, 2, 3, 5 },
    { 2, 3, 4, 5 }
]
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2 T- i4 [/ m/ ~# [# p/ {! WSimplicial complex
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    { -1, 0, 1, 3 },
( U3 M8 Z# n( W) l9 E: m( ^+ ~    { -1, 1, 2, 3 },
    { 0, 1, 2, 3 },
    { -1, 0, 1, 2 },
    { -1, 0, 2, 3 }
]

7 c+ o8 i" n2 V, a2 q8 L1 kSimplicial complex
[
/ E5 A4 O3 H% h' E! T    { 4, 5, 6, 7, 8 },
    { -1, 0, 1, 2, 3 }
' y: w& s) }2 E& O! y]
1 L! M8 u+ K0 gSimplicial complex
! ~& }+ Q, n/ i3 @& v[
% a2 C/ V9 U, e7 v4 j& P& u    { 0, 1, 2, 3 },
    { 4, 5, 6, 8 },
  q- ?/ q& {* Z& O  {6 f    { 4, 5, 7, 8 },
    { 5, 6, 7, 8 },
    { -1, 0, 1, 3 },
    { -1, 0, 2, 3 },
    { 4, 5, 6, 7 },
    { 4, 6, 7, 8 },
" g* i$ l- s$ t9 Z4 R4 ]' R) R    { -1, 0, 1, 2 },
    { -1, 1, 2, 3 }
# K, w0 P: I* t- _% d) z]

4 s0 \& ?, T! u, `: A6 C2 c+ Z/ V0 z
" B/ `5 h) t: W, }3 Q边界之和是怎样算出的？
" \6 L' J3 |9 D! E/ X5 M3 n4 l  [    { 4, 5, 6, 7, 8 },
    { -1, 0, 1, 2, 3 }
6 [6 j' v& a* B8 Q2 G9 P
+ P4 S- c, L/ A9 o9 R$ o
+ k8 S& r% @- b, `/ {