Index
Abhyankar, 170
absolute value ix
Archimedean, ix
corresponding to an ordering, 64
non-Archimedean, ix
p-adic, ix
alternating algebra, 213
Arason, xi, 95, 100, 213
Archimedean
absolute value, ix
ordered abelian group, 23
ordering, 35, 67, 71, 81, 85, 88
valuation, 39
Archimedes' axiom, 20
Artin, ix-x, 65, 69, 175, 178, 180, 184, 228
Ax, x, 135
Baer, 69, 234, 267
Baer-Krull correspondence, 234, 267
Bass, 207, 209, 225, 231, 233
Becker, 175, 180
birational anabelian geometry, xi, 238
Bloch-Kato conjecture, xi, 221-222
Bockstein map, 214, 225, 226, 228, 244-245
Borchardt, 181
bounded set, 79-80, 89-90
Bourbaki, xii
Brocker, xi, 164, 243, 267
character, 12-14, 199
cyclotomic, 202
characteristic (of a ring), 107
Chevalley, 127-128, 152, 170, 188
coarser
locality, 69-73, 76, 187-191, 195, 255-257
valuation, 55-61, 96-100, 189, 191-192
cofinal, 20-23, 129
comparable
localities, 90-93, 131, 195
valuations 91-92, 96-97, 99, 131, 193-195, 197-198
compatible,
281
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