1701047418
1701047419
1701047420
1701047421
1701047422
从第六章§4的例4和例5知道
1701047423
1701047424
1701047425
1701047426
1701047427
1701047428
1701047429
1701047430
再举几个例子.
1701047431
1701047432
1701047433
例1 设X=S1∨S1.图7-7是X的一个剖分K,它是两个子复形K1和K2的并,K1∩K2=a0是一顶点.K1,K2分别是S1的剖分,于是(第六章§3习题2).设
1701047434
1701047435
z1=a0a1+a1a2+a2a0, z2=a0a3+a3a4+a4a0,则{z1,z2}是Z1(K)=H1(K)的基.K是连通的1维复形,于是
1701047436
1701047437
1701047438
1701047439
1701047440
图7-7
1701047441
1701047442
1701047443
1701047444
1701047445
用同样方法可计算出
1701047446
1701047447
1701047448
1701047449
1701047450
1701047451
例2 设X是S2加上赤道所围的圆盘.图7-8给出了X的一个剖分其中
1701047452
1701047453
1701047454
1701047455
1701047456
1701047457
记则K1∩K2=Cl(a1,a2,a3).根据第六章§3的习题4,
1701047458
1701047459
1701047460
1701047461
1701047462
∀q≠0,
1701047463
1701047464
于是
1701047465
1701047466
1701047467
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