问个关于复形之和的边界问题

lilianjie

X:=**x(0);
; A3 [$ o/ C+ y& JX;
% c, }# j# S% w/ H3 B- u0 z* @. lX2:=
**x(1);X2;
. @1 K! }+ J2 C! _X3:=**x(2);X3;
X4:=
**x(3);X4;
: F# M1 {$ M* I2 ?. c; o  kX5:=
6 @, ~. _. v0 R$ l0 j**x(4);X5;


! C+ U) V: O3 y- KXX:=Normalization(X5) ;
XX;
S:=Shift(XX, -2);
  o0 b- E( o7 p; T. h2 K1 BS;
Boundary(X5) ;
* Q6 b& \: h6 m# q. @' y# c+ u6 ?Boundary(S) ;
5 C5 N  L" k; {& _K:=S + X5;K;
% E6 E0 L# V$ O
) H9 _, r, e( LBoundary(K) ;
. N9 u8 j' m0 [; i1 T9 W+ e6 E

7 W! x3 p9 P6 N1 [$ g) p) XSimplicial complex
2 A7 J; B# X: E% w[
/ f* B' c9 C6 k    { 1 }
0 S/ p: g9 C8 s4 A1 p7 {5 A8 ~]

Simplicial complex
[
: Q5 e9 C) K' ]5 y    { 1, 2 }
3 [/ e3 g2 i" J$ E: p7 c]
' p5 T0 X# P9 J
( X  H# a# F* e% X0 T2 OSimplicial complex
- Y6 p$ `& v4 Q, Y[
# r2 h$ V* N7 r. K7 z0 ^    { 1, 2, 3 }
, ?1 ~/ ?) V, v1 U0 ?% N# [- M2 h]

Simplicial complex
[
    { 1, 2, 3, 4 }
]
. N6 c& x# M3 K5 t2 L* o
1 Y! ~& c) w7 T9 T5 B0 `% DSimplicial complex
5 C& ?: J; K5 }; L8 E: m+ D( }' J- i[
+ L$ e% Y2 }8 f# V* g6 d    { 1, 2, 3, 4, 5 }
* @: I! G$ N0 s) O4 y]

Simplicial complex
[
    { 1, 2, 3, 4, 5 }
]

Simplicial complex
[
    { -1, 0, 1, 2, 3 }
. _4 Q  e# `( r3 D% q]

Simplicial complex
[
% Y8 ^8 h, x2 L& \5 j6 K4 O& X" e    { 1, 2, 4, 5 },
    { 1, 2, 3, 4 },
4 E( ~1 A* F3 ?2 Z2 [4 F/ |4 o    { 1, 3, 4, 5 },
    { 1, 2, 3, 5 },
1 P2 h! s# ?* S. k7 y+ e    { 2, 3, 4, 5 }
]
; |; G! g+ @1 l( M2 t: t9 ~/ U1 x
/ a9 K+ P) V$ J/ N; J! ySimplicial complex
+ o% o' q9 i+ b* O8 M, I' s( c[
    { -1, 0, 1, 3 },
& @% m) L- A- W$ S    { -1, 1, 2, 3 },
    { 0, 1, 2, 3 },
    { -1, 0, 1, 2 },
    { -1, 0, 2, 3 }
]

Simplicial complex
[
+ w4 Q  d9 Z7 L# I9 u' j" ?3 Q    { 4, 5, 6, 7, 8 },
4 x+ |' N. O  a    { -1, 0, 1, 2, 3 }
]
Simplicial complex
5 T& S% e) A. F9 ?! M[
    { 0, 1, 2, 3 },
    { 4, 5, 6, 8 },
    { 4, 5, 7, 8 },
8 c) ^  O4 x: b    { 5, 6, 7, 8 },
+ ~: T1 L" z3 i, B3 {/ w    { -1, 0, 1, 3 },
  H8 |: h! p6 z; t) r$ v4 w    { -1, 0, 2, 3 },
    { 4, 5, 6, 7 },
    { 4, 6, 7, 8 },
6 @# g- t& L3 m3 ?7 f$ k. m; g- R* y    { -1, 0, 1, 2 },
' b- G2 [. F9 G! S" u+ s    { -1, 1, 2, 3 }
]

- ^. v7 Q  o9 R; ]/ a" }
边界之和是怎样算出的？
    { 4, 5, 6, 7, 8 },
# x% v( s' A3 U3 Y# b, ]    { -1, 0, 1, 2, 3 }
+ d2 }/ j# J( x( u7 p$ v$ ^- l4 P% E