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PhD Thesis

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. . . .<br />

<br />

<br />

. . . <br />

M3<br />

<br />

M2<br />

B B<br />

. . .<br />

<br />

<br />

M1<br />

<br />

d+b<br />

<br />

M0<br />

B<br />

B<br />

d+b<br />

<br />

M2<br />

<br />

B<br />

d+b<br />

<br />

M0<br />

.<br />

d+b<br />

<br />

M0<br />

y la homología como HN∗(M) := H∗(T ot(CN)) como la homología cíclica<br />

negativa.<br />

Definición 1.78. Dado el bicomplejo (Mp,q, b, d) y B como en la Definición<br />

1.76 definamos los complejos Lj de la siguiente manera<br />

Mj,0<br />

<br />

d<br />

Mj,1<br />

d<br />

d<br />

Mj,2<br />

<br />

d<br />

Mj,∗<br />

<br />

y el bicomplejo (Mp,q, d, B) como<br />

<br />

<br />

<br />

. . . B<br />

dd<br />

M2,1<br />

. . . d<br />

· · ·<br />

.<br />

B<br />

.<br />

d<br />

<br />

M1,1<br />

<br />

.<br />

d<br />

<br />

M0,1<br />

d<br />

d<br />

d<br />

<br />

<br />

<br />

<br />

B <br />

B<br />

M1,0<br />

<br />

B<br />

M0,0.<br />

. . . M2,0<br />

Finalmente definamos el complejo M ≥p como<br />

<br />

<br />

<br />

. . . B<br />

d<br />

Mp+2,1<br />

.<br />

B<br />

.<br />

B<br />

d<br />

<br />

Mp+1,1<br />

<br />

.<br />

d<br />

<br />

Mp,1<br />

d<br />

d<br />

d<br />

<br />

<br />

<br />

<br />

B <br />

B<br />

Mp+1,0<br />

<br />

B<br />

Mp,0.<br />

. . . Mp+2,0<br />

29<br />

B

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