INDEX
atomic, 23
EG, 48
Bousfield class, 32-33, 43
Brown-Comenetz duality, 52-55, 91
3 ( X ) , 70
C ' , 4 4
C, 5
chromatic splitting, 82
cohomology functor, 50
coideal, 5
colocalising subcategory, 5, 38, 39, 43
completion, 83-91
cophantom, 52, 55
cosupport, 36, 82
£, 46
£F, 4
deg, 68
TMU 3, 21
dualisable, 6, 34, 46-48, 57-64
Et 3, 4, 6-8, 15-18, 45
JE?(n), 3
even finite spectrum, 8
evenly generated, 8-10, 12
E^X, 45
^ , 4 6
F(m) , 5
F-small, 6, 34, 47
finite, 6, 34, 46, 47, 62
finite-dimensional, 91
rJn
30
generalised Moore spectrum, 92
good (P, it) self map, 70
good vn element, 24
good vn self map, 22, 26, 38, 57
Haar measure, 76, 80
harmonic, 95
holim, 6
holim, 6
homology functor, 50-52
ideal, 5, 42, 43, 61, 62
J, 52, 55
In, 3
infective
comodule, 14
spectrum, 14, 18-21, 34
invariant prime, 83
K, 3
X, 5
K{n), 3
Krull-Schmidt theorem, 60
£ , 5
Incomplete, 7, 45, 86-91
Landweber exactness, 4, 8-13
len, 63, 81
Z / , 4 4
L, 5, 44-45
local homology, 84-86
localising subcategory, 5, 38, 39, 43
3VC, 5, 40
MASS, 14
minimal weak colimit, 6, 9, 50
MMU 3
monochromatic, 5, 40
monogenic, 6
Moore spectrum, 21, 25, 27, 53, 82
MU, 3, 9
/z-spectrum, 23
MU,Z
mwlim, 6, 50
nilpotent
map, 35, 36, 57
spectrum, 6, 34, 38, 42, 64-67
topologically, 57-60
Noetherian, 15-18
3, 67
0°, 69
phantom, 4, 8, 10, 30, 52, 55
TT(P,U), 70
Pic, 67
Pic 0 , 69
Picard group, 52, 63, 67-75
Pic', 69
y , 69
Pro(30, 29-31
pro-free, 89-91
represent able, 51, 52
S, 3, 5
semiring, 62-64
Seq(30, 29
E*, 15
E(fc)*, 16
§*, 15
5/J, 25-28, 31
small, 6, 34, 46, 50, 62, 91-95
smashing, 32, 37
spectral sequence
Adams, 14, 34
universal coefficient, 13
stable homotopy category, 5-6
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