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Canadian Mathematical Society Soci
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Dr. Davide L. Ferrario Università
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Foreword to the English Edition Exc
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x Preface same qualitative properti
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xii Preface homology groups, also w
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Contents I Fundamental Concepts ...
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Chapter I Fundamental Concepts I.1
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I.1 Topology 3 We need to show that
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I.1 Topology 5 Let X be a topologic
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I.1 Topology 7 (x, y) (x, −y) Fig
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I.1 Topology 9 that f is a homeomor
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I.1 Topology 11 We recall that an i
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I.1 Topology 13 Cx = � Xj j∈J i
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I.1 Topology 15 A Fig. I.5 Example
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I.1 Topology 17 with the topology i
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I.1 Topology 19 are closed in Y. Th
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I.1 Topology 21 is the diagonal of
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I.1 Topology 23 (I.1.38) Lemma. Let
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I.1 Topology 25 Here is an example.
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I.2 Categories 27 5. Prove that a f
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I.2 Categories 29 3. For every pair
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I.2 Categories 31 If conditions 2.
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I.2 Categories 33 Conversely, given
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I.2 Categories 35 q: B ⊔C → B
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I.2 Categories 37 (I.2.5) Lemma. Gi
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I.3 Group Actions 39 I.3 Group Acti
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I.3 Group Actions 41 S2 = {(x,y,z)
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44 II Simplicial Complexes (0, 1) (
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- Page 91 and 92: 74 II Simplicial Complexes (II.3.10
- Page 93 and 94: 76 II Simplicial Complexes If we do
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- Page 97 and 98: 80 II Simplicial Complexes Φi = {
- Page 99 and 100: 82 II Simplicial Complexes obtained
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- Page 103 and 104: 86 II Simplicial Complexes Therefor
- Page 105 and 106: 88 II Simplicial Complexes Exercise
- Page 107 and 108: 90 II Simplicial Complexes Hn(C;G)=
- Page 109 and 110: 92 II Simplicial Complexes Since im
- Page 111 and 112: 94 II Simplicial Complexes and cons
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- Page 117 and 118: 100 III Homology of Polyhedra (the
- Page 119 and 120: 102 III Homology of Polyhedra where
- Page 121 and 122: 104 III Homology of Polyhedra such
- Page 123 and 124: 106 III Homology of Polyhedra |L|×
- Page 125 and 126: 108 III Homology of Polyhedra We no
- Page 127 and 128: 110 III Homology of Polyhedra Let K
- Page 129 and 130: 112 III Homology of Polyhedra the g
- Page 131 and 132: 114 III Homology of Polyhedra that
- Page 133 and 134: 116 III Homology of Polyhedra With
- Page 135 and 136: 118 III Homology of Polyhedra linea
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- Page 145 and 146: 128 III Homology of Polyhedra III.5
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- Page 149 and 150: 132 III Homology of Polyhedra all,
- Page 151 and 152: 134 III Homology of Polyhedra For t
- Page 153 and 154: 136 III Homology of Polyhedra since
- Page 155 and 156: 138 III Homology of Polyhedra III.5
- Page 157 and 158: 140 III Homology of Polyhedra III.6
- Page 159 and 160: 142 III Homology of Polyhedra Note
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148 III Homology of Polyhedra We no
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Chapter IV Cohomology IV.1 Cohomolo
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IV.1 Cohomology with Coefficients i
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IV.1 Cohomology with Coefficients i
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IV.1 Cohomology with Coefficients i
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IV.1 Cohomology with Coefficients i
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IV.2 The Cohomology Ring 161 is suc
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IV.2 The Cohomology Ring 163 (for Z
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IV.2 The Cohomology Ring 165 and th
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IV.3 The Cap Product 167 Proof. Let
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IV.3 The Cap Product 169 Therefore
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172 V Triangulable Manifolds (V.1.2
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174 V Triangulable Manifolds other
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176 V Triangulable Manifolds are li
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178 V Triangulable Manifolds and ta
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180 V Triangulable Manifolds We vie
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182 V Triangulable Manifolds may be
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184 V Triangulable Manifolds Fig. V
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186 V Triangulable Manifolds we tak
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188 V Triangulable Manifolds a tree
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190 V Triangulable Manifolds The de
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192 V Triangulable Manifolds and th
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Chapter VI Homotopy Groups VI.1 Fun
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VI.1 Fundamental Group 197 The func
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VI.1 Fundamental Group 199 Proof. L
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VI.1 Fundamental Group 201 We now d
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VI.1 Fundamental Group 203 are redu
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VI.1 Fundamental Group 205 We take
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VI.1 Fundamental Group 207 c being
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VI.1 Fundamental Group 209 We now c
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VI.2 Fundamental Group and Homology
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VI.3 Homotopy Groups 213 We now set
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VI.3 Homotopy Groups 215 for every
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VI.3 Homotopy Groups 217 such that
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VI.3 Homotopy Groups 219 is a bijec
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VI.3 Homotopy Groups 221 VI.3.1 Act
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VI.3 Homotopy Groups 223 We now con
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VI.3 Homotopy Groups 225 The follow
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VI.3 Homotopy Groups 227 Since the
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VI.3 Homotopy Groups 229 (VI.3.22)
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VI.3 Homotopy Groups 231 Z ��
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VI.4 Obstruction Theory 233 c n+1 f
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VI.4 Obstruction Theory 235 3. (VI.
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VI.4 Obstruction Theory 237 Proof.
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240 References 24. C.R.F. Maunder -
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242 Index free presentation, 93 fun