Cellular Spaces, Null Spaces and Homotopy Localization

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Springer Science & Business Media, Dec 14, 1995 - Mathematics - 199 pages
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In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.
 

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Contents

II
1
III
6
IV
17
V
23
VI
26
VII
28
VIII
35
IX
37
XXVII
104
XXVIII
112
XXIX
116
XXX
120
XXXI
122
XXXII
127
XXXIII
128
XXXIV
132

X
39
XI
40
XII
42
XIII
45
XIV
53
XV
59
XVI
63
XVII
65
XVIII
73
XIX
75
XX
79
XXI
80
XXII
87
XXIII
92
XXIV
95
XXV
100
XXVI
101
XXXV
135
XXXVI
137
XXXVII
140
XXXVIII
144
XXXIX
146
XL
152
XLI
155
XLII
160
XLIII
166
XLIV
167
XLV
172
XLVI
174
XLVII
176
XLVIII
189
XLIX
192
L
196
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