Index of notation

αS(i)

n

signature map on

Hn(OS),

570

A(G) Burnside ring of G, 71

A(X), An(X) K-theory of spaces, K(Rf (X)), 369

Afd(X)

K-theory of finitely dominated spaces, 370

Az(R) category of Azumaya algebras, 116

B(F ) Bloch’s group for a field, 536

BC geometric realization of a category, 313

BCtop

geometric realization of a topological category, 321

BGδ

classifying space of a discrete group, 524

BGε subcomplex of

BGδ,

524

BGL(R)+

connected K-theory space of R, 285

Bk Bernoulli numbers, 519

BO classifying space for real vector bundles, 92

BOn classifying space for real vector bundles, 42

BSp classifying space for symplectic vector bundles, 92

BSpn classifying space for symplectic vector bundles, 42

BU classifying space for complex vector bundles, 92

BUn classifying space for complex vector bundles, 42

C(R) cone ring of R, 6

C/d or d\C comma category, 314

Cart(R) Cartier divisor group, 22

Cart(X) Cartier divisors on X, 61

Ch(A) chain complexes in A, 176

Chhb(A)

homologically bounded complexes, 420

Chpcoh

hb

pseudo-coherent complexes, 421

Chperf(R), Chperf(X) perfect chain complexes, 420

599