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
1701047468
1701047469
例3 X是S2加一直径,它的一个剖分如图7-9所示,K=Bd(a0,a1,a2,a3)∪Bd(a0,a1,a4).用例2的方法可以求出
1701047470
1701047471
1701047472
1701047473
1701047474
图7-8
1701047475
1701047476
1701047477
1701047478
1701047479
图7-9
1701047480
1701047481
1701047482
1701047483
1701047484
习 题
1701047485
1701047486
1.计算Sn∨Sm的同调群(n≠m,都大于0).
1701047487
1701047488
1701047489
2.作可剖分空间X,使得它的0,2,3维同调群同构于Z,其他维同调群为0.
1701047490
1701047491
1701047492
1701047493
3.作可剖分空间X,使得它与T2有同构的各维同调群,但
1701047494
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