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