Index
+-construction, ix, x, 288, 283–304,
330–341, 350, 359, 506, 512–516,
546–552
+ = Q Theorem, 284, 290, 359,
358–364, 412
F -regular ring, 385
K-theory space
of R, 300
Ω-spectrum, see also spectrum
δ-functors, 154
γ-dimension, 104, 347
γ-filtration, 105, 105–113, 159, 168,
345–347
γ-operations, 103, 103–113, 343–347
λ-operations, x, xi, 69, 98, 98–113, 167,
294, 341–347
λ-ring, 98, 98–113, 167, 496, 499, 506
λ-semiring, 98
free λ-ring, 102, 107, 111
line element, 100, 100–113, 167, 168
positive structure, 99, 99–114, 167
special, 98, 99, 101, 102, 155, 167,
341–345
ψk,
see also Adams operations
(App), see also Approximation
Theorem
A(G), see also Burnside ring
A(X) (K-theory of spaces), 369, 370,
413
Afd(X),
370
abelian category, 124
exact subcategory, 126
absolute excision, 294
absolutely flat ring, 8
f∗-acyclic module, 162
acyclic functor, 229
acyclic map, 288, 288
acyclic space, 287
Adams e-invariant, 112, 517, 523
Adams Conjecture, 294
Adams operations, 102, 102, 294,
343–347, 528, 534, 563
Adams’s element μn, 523, 581
Adams, J. F., 102, 112, 294, 517, 523
additive category, 124
additive function, 125, 147, 158, 178
Additivity Theorem, xi, 371, 401–412,
426, 428, 459, 465, 473, 474, 482
admissible filtration, 410
Almkvist, G., 144, 354
ample line element, 111
analytic isomorphism, 229, 236
analytic space, 52, 54, 67
analytic vector bundle, 52, 54
Anderson, D., 291, 388, 393, 449
Approximation Theorem, xi, 182,
183–188, 417, 417–422, 430, 432,
439, 467, 468
Approximation Theorem for units, 570,
572
Araki, S., 308
Arf invariant, 121, 123
Arf, C., 123
Artamanov, V., 10
Artin-Schrier extension, 259, 260, 274
605
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