Simplicial Structures in Topology

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Canadian Mathematical Society Sociétémathématique du Canada Editors-in-Chief Rédacteurs-en-chef K. Dilcher K. Taylor Advisory Board Comité consultatif G. Bluman P. Borwein R. Kane For other titles published in this series, go to http://www.springer.com/series/4318
Page 4 and 5: Davide L. Ferrario • Renzo A. Pic
Page 6: To Albrecht Dold, friend and mentor
Page 10 and 11: Preface On a dit, écrivais je (ou
Page 12 and 13: Preface xi Sequence Theorem in Sect
Page 14: Preface xiii product S n ∨ S n ).
Page 17 and 18: xvi Contents III.6 Homology of the
Page 19 and 20: 2 I Fundamental Concepts C1 /0,X
Page 21 and 22: 4 I Fundamental Concepts x z y Fig.
Page 23 and 24: 6 I Fundamental Concepts 3. {(0,y),
Page 25 and 26: 8 I Fundamental Concepts x ∈ U, f
Page 27 and 28: 10 I Fundamental Concepts (ii) X is
Page 29 and 30: 12 I Fundamental Concepts In partic
Page 31 and 32: 14 I Fundamental Concepts We now de
Page 33 and 34: 16 I Fundamental Concepts is a path
Page 35 and 36: 18 I Fundamental Concepts We now pr
Page 37 and 38: 20 I Fundamental Concepts We wish t
Page 39 and 40: 22 I Fundamental Concepts As for th
Page 41 and 42: 24 I Fundamental Concepts induces t
Page 43 and 44: 26 I Fundamental Concepts every i =
Page 45 and 46: 28 I Fundamental Concepts Compositi
Page 47 and 48: 30 I Fundamental Concepts The quoti
Page 49 and 50: 32 I Fundamental Concepts The map
Page 51 and 52: 34 I Fundamental Concepts universal
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36 I Fundamental Concepts where 0
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38 I Fundamental Concepts satisfies
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40 I Fundamental Concepts (I.3.1) L
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Chapter II The Category of Simplici
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II.1 Euclidean Simplicial Complexes
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II.2 Abstract Simplicial Complexes
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II.3 Homological Algebra 65 II.3 In
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II.3 Homological Algebra 67 is exac
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II.3 Homological Algebra 69 The con
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II.3 Homological Algebra 71 ε ′
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II.3 Homological Algebra 73 we say
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II.4 Simplicial Homology 75 splits
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II.4 Simplicial Homology 77 such th
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II.4 Simplicial Homology 79 define
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II.4 Simplicial Homology 81 � �
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II.4 Simplicial Homology 83 � x
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II.4 Simplicial Homology 85 defined
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II.4 Simplicial Homology 87 We now
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II.5 Homology with Coefficients 89
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100 III Homology of Polyhedra (the
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102 III Homology of Polyhedra where
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104 III Homology of Polyhedra such
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106 III Homology of Polyhedra |L|×
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108 III Homology of Polyhedra We no
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110 III Homology of Polyhedra Let K
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112 III Homology of Polyhedra the g
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114 III Homology of Polyhedra that
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116 III Homology of Polyhedra With
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118 III Homology of Polyhedra linea
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120 III Homology of Polyhedra (III.
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122 III Homology of Polyhedra (III.
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124 III Homology of Polyhedra 1-sim
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126 III Homology of Polyhedra with
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128 III Homology of Polyhedra III.5
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130 III Homology of Polyhedra such
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132 III Homology of Polyhedra all,
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134 III Homology of Polyhedra For t
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136 III Homology of Polyhedra since
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142 III Homology of Polyhedra Note
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144 III Homology of Polyhedra We ma
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146 III Homology of Polyhedra and,
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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.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
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Simplicial Structures in Topology

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