Decompositions of Manifolds (Google eBook)

Front Cover
American Mathematical Soc., 1986 - Mathematics - 317 pages
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Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.
  

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Contents

III
1
IV
7
VI
13
VII
15
VIII
17
IX
22
X
23
XI
35
XXIX
166
XXX
171
XXXI
178
XXXII
187
XXXIII
190
XXXV
206
XXXVI
212
XXXVII
223

XII
41
XIII
50
XIV
61
XV
81
XVI
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XVII
102
XVIII
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XIX
113
XX
114
XXI
120
XXII
123
XXIII
129
XXIV
143
XXV
148
XXVI
149
XXVII
151
XXVIII
158
XXXVIII
227
XXXIX
232
XL
239
XLI
241
XLII
245
XLIII
251
XLIV
256
XLV
260
XLVI
264
XLVII
265
XLVIII
274
XLIX
284
L
291
LI
300
LII
303
LIII
313
Copyright

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Page 311 - JHC Whitehead, Simplicial spaces, nuclei and m-groups, Proc. London Math. Soc. 45 (1939), 243-327, (Math.
Page 303 - TM Price, Decompositions into compact sets with UV properties, Trans. Amer. Math. Soc. 141 (1969), 433-442.
Page 303 - Sur l'homeomorphie de deux figures et de leurs voisinages, J. Math. Pures. Appl., 86 (1921), 221-235.
Page 303 - Jersey, 1966. [2] Homotopy properties of decomposition spaces. Trans. Amer. Math. Soc. 143 (1969), 499-507.
Page xi - ACKNOWLEDGMENTS There are many people to whom I am indebted for help.

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