问个关于复形之和的边界问题

lilianjie

X:=**x(0);
! U' I4 _1 e6 X/ LX;
X2:=
" ~$ F! {) G, v" ]$ |**x(1);X2;
- X( B1 j$ S/ K& |# HX3:=**x(2);X3;
X4:=
) O; _& q9 a, [**x(3);X4;
2 o+ J+ `( u) i0 _, _) UX5:=
" Y- T8 @& P8 w! F**x(4);X5;
/ M0 ?( V: ~  u- B6 ~$ ?7 h

XX:=Normalization(X5) ;
XX;
  Z) t/ v$ L2 @* qS:=Shift(XX, -2);
S;
$ ~8 G: I1 v& KBoundary(X5) ;
- E6 h  U. z) N1 ^8 \4 T' h$ IBoundary(S) ;
K:=S + X5;K;
1 a: w0 K" u! U9 I9 j. `0 h' C# E; H
Boundary(K) ;


- d" H+ c* n' g3 u8 {( F2 v6 SSimplicial complex
  G7 d" S) ^1 P4 C[
    { 1 }
; x% h7 ?6 L7 ^# U& g: S3 K]

Simplicial complex
[
    { 1, 2 }
8 Y& u8 k6 h9 e# R4 r, O7 o4 ^]

Simplicial complex
7 X( e9 m9 `9 m# o3 b2 L1 c2 Q1 B/ |[
    { 1, 2, 3 }
]
. u$ q( _+ t# u+ n2 C
Simplicial complex
[
    { 1, 2, 3, 4 }
]

Simplicial complex
  h+ J! {4 h, j[
; W' t. j* k  {9 m4 t! Z, K# H    { 1, 2, 3, 4, 5 }
]

6 T" W2 X- y5 V/ t" p' D4 c/ r, MSimplicial complex
! }; @4 V7 `% p. ]% U- u[
    { 1, 2, 3, 4, 5 }
3 X7 A1 L$ x. y* []
- T! B4 A) i  M, s5 }' Q# |% S
Simplicial complex
6 _: R+ B4 ]+ @# x6 [4 Y& B[
3 y8 ?- E# d- W& x- ]. z" \    { -1, 0, 1, 2, 3 }
]
2 I% F7 j6 `  h. g: V$ x9 E; z+ J
Simplicial complex
[
    { 1, 2, 4, 5 },
  r( q& Q( r! I    { 1, 2, 3, 4 },
    { 1, 3, 4, 5 },
3 N. U0 O& P, w5 a. q5 Y! D/ w    { 1, 2, 3, 5 },
* q% b+ E/ H3 I9 {    { 2, 3, 4, 5 }
7 G( F0 {' E+ k" Z5 u6 L" r]

' G- x. t' S3 w0 W3 eSimplicial complex
1 q/ c1 q- S; C, _$ W! P/ y0 i[
% u: ?$ G: f1 \5 r+ u    { -1, 0, 1, 3 },
    { -1, 1, 2, 3 },
    { 0, 1, 2, 3 },
    { -1, 0, 1, 2 },
8 L4 a& C$ g, k) Q) Z9 y4 t6 ~    { -1, 0, 2, 3 }
- \- c9 M- ]' B+ ?]

Simplicial complex
[
0 D1 N0 l0 u" |: f7 P8 p2 y    { 4, 5, 6, 7, 8 },
5 B9 Z7 b- U. P# q    { -1, 0, 1, 2, 3 }
& ]' X/ w5 O! }% J" m/ J+ [. C3 x# q0 Y]
Simplicial complex
# S$ u5 _* j2 |! A[
    { 0, 1, 2, 3 },
3 A6 p( b- y) w! h/ @: f1 ^    { 4, 5, 6, 8 },
* a1 d3 i7 p6 u* g3 h    { 4, 5, 7, 8 },
5 Y+ p& \+ B6 Y. w/ a1 t    { 5, 6, 7, 8 },
; q6 P1 V. F+ M3 W: L0 w    { -1, 0, 1, 3 },
. V  G( f  @5 t. `    { -1, 0, 2, 3 },
    { 4, 5, 6, 7 },
4 a" J0 O( P/ Q% C( I4 O    { 4, 6, 7, 8 },
% U/ ?: C# |7 X; s% X) J. C5 ?    { -1, 0, 1, 2 },
4 n3 K) i0 X3 I/ `0 x    { -1, 1, 2, 3 }
  e+ p( I  \) J3 U; c. u]
& y' Q' k$ r1 M; ^

边界之和是怎样算出的？
5 S7 ~, Y6 t; e: }7 U. t9 A$ Q    { 4, 5, 6, 7, 8 },
    { -1, 0, 1, 2, 3 }
( q( b, z8 P1 a5 a$ Q$ ~! k


0 U1 ]% w, P8 d* |! K