问个关于复形之和的边界问题

lilianjie

X:=**x(0);
7 R* L3 W) M& |$ Y0 x- PX;
X2:=
**x(1);X2;
X3:=**x(2);X3;
% h* C, S8 F2 r' T2 Q1 x  y& \X4:=
: D' }( c+ M" k**x(3);X4;
' q0 l, t! c  s- r! cX5:=
* E- ~2 w" s1 Y' G**x(4);X5;

9 S( c: j$ Z0 f: \
6 }3 E2 z, V+ L# ^7 SXX:=Normalization(X5) ;
7 v) ?1 c1 v* E8 [" W/ ZXX;
S:=Shift(XX, -2);
( @9 V5 V: p- pS;
# A  C2 F! N2 `$ EBoundary(X5) ;
Boundary(S) ;
K:=S + X5;K;
+ F. z; ^9 M6 n: m% x
, F" \# _. {( _& ]* Q7 R0 sBoundary(K) ;
, q/ n6 ~8 R- J: U% F9 x. I, l
- x4 M0 r8 ]+ E: f! S2 z: s1 O9 w
Simplicial complex
$ y% i# r: Q& k  y[
    { 1 }
7 x& |3 g+ Q7 [& z* T]

' Q# `! z  }( D* VSimplicial complex
# k1 l0 q1 J+ u1 ][
- Y: h# g7 r5 {" {3 ^% N5 S% C! y    { 1, 2 }
]
: F9 U% I' x; @1 X
; S4 E  _  J8 E3 a8 ~9 S2 TSimplicial complex
1 Y- U$ ^/ {6 U( O! d8 }; X[
+ C9 h/ b2 M& F6 F, w* r    { 1, 2, 3 }
]

" C7 e. ?* i& l/ ^) y6 W7 C2 }Simplicial complex
" J* S3 A) r( P! Y3 W2 y7 x[
    { 1, 2, 3, 4 }
]
8 M' Q+ b8 ^9 D
Simplicial complex
[
    { 1, 2, 3, 4, 5 }
2 g- v/ ?) P, C( g]

% x" R& L  y) F+ {+ D9 ^Simplicial complex
[
    { 1, 2, 3, 4, 5 }
; F+ X% F0 k' g% j: _! v  _, J4 w- S]

& C3 ~8 N. d, X  J. W( D* mSimplicial complex
[
    { -1, 0, 1, 2, 3 }
]

& y* W) B8 J+ }3 p) pSimplicial complex
[
1 M8 F7 z! M4 l' t* @    { 1, 2, 4, 5 },
    { 1, 2, 3, 4 },
    { 1, 3, 4, 5 },
    { 1, 2, 3, 5 },
    { 2, 3, 4, 5 }
]
; B; W9 Q" o: N( f% ?- |
; s7 R- @6 s8 W  ^Simplicial complex
[
    { -1, 0, 1, 3 },
2 P+ ?2 Y/ V  t& {    { -1, 1, 2, 3 },
! s5 }! o0 a0 `! s/ h    { 0, 1, 2, 3 },
+ g  T( B+ q1 y    { -1, 0, 1, 2 },
    { -1, 0, 2, 3 }
]
; x. {+ n" ^+ u8 o& x# v& D
0 x2 J$ A. R' ~. R1 [+ SSimplicial complex
2 t: N$ @1 @, T8 I2 l# f6 t9 E) \[
    { 4, 5, 6, 7, 8 },
4 e# W/ ^+ p* ?& {9 h0 l$ Q) |4 X    { -1, 0, 1, 2, 3 }
]
Simplicial complex
- Y& f4 }: I" G8 ?$ O- t3 U! h7 S( `[
    { 0, 1, 2, 3 },
# b3 W$ K! f8 D* c6 a; B; B    { 4, 5, 6, 8 },
7 X6 {  }& Y* ~  f' V8 Y& F    { 4, 5, 7, 8 },
: s4 Q" H9 z6 \8 F$ b    { 5, 6, 7, 8 },
    { -1, 0, 1, 3 },
    { -1, 0, 2, 3 },
3 ?2 W6 ]6 G5 {) _( E6 h, {    { 4, 5, 6, 7 },
    { 4, 6, 7, 8 },
9 V- P; f7 F$ s6 v    { -1, 0, 1, 2 },
    { -1, 1, 2, 3 }
]
7 ?6 w0 K  j$ [/ M

3 i0 B- v& K* J2 l  W边界之和是怎样算出的？
: d$ p6 `3 d5 i+ ^& V' q* V2 |    { 4, 5, 6, 7, 8 },
    { -1, 0, 1, 2, 3 }
! U$ `8 d+ B! d: l" L* ]+ ?* i

# [8 Q( T+ X- C3 Q
) S) A% N! H1 J7 j2 `