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1 | (3) |
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4 | (3) |
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2.1 Eilenberg-MacLane spaces |
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4 | (1) |
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4 | (2) |
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2.3 Finite presentability |
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6 | (1) |
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3 Representations: homology and homotopy |
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7 | (4) |
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11 | (8) |
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4.1 Homeotopy and mapping-class groups |
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12 | (2) |
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4.2 Homology representations |
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14 | (2) |
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16 | (1) |
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17 | (2) |
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5 Generators: surface, modular groups |
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19 | (9) |
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19 | (1) |
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20 | (1) |
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5.3 Non-orientable surfaces |
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21 | (1) |
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22 | (1) |
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5.5 Presentations of homeotopy groups |
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23 | (1) |
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24 | (1) |
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5.7 Free, free abelian, and symplectic groups |
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25 | (1) |
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26 | (2) |
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6 Manifolds of dimension three or more |
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28 | (6) |
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6.1 The homomorphism H(*)(M) XXX(*)(M) |
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28 | (2) |
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6.2 Finite generation, finite presentation and finiteness |
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30 | (2) |
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6.3 Relations between E(M), H(M) and Diff(M) |
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32 | (1) |
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6.4 Generation of higher homotopy groups |
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33 | (1) |
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7 XXX(*)(X) not finitely generated |
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34 | (2) |
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36 | (4) |
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9 XXX(*)(X) finitely presented, nilpotent |
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40 | (4) |
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44 | (1) |
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11 Cellular/homology complexes: methods |
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45 | (9) |
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12 Cellular, homology complexes: calculations |
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54 | (9) |
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12.1 Simply-connected complexes with only two cells |
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54 | (1) |
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12.2 Simply-connected complexes: three or more cells |
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55 | (1) |
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12.3 Products of spheres, sphere bundles over spheres |
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56 | (3) |
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12.4 H-spaces of low rank |
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59 | (2) |
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61 | (2) |
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13 Non-1-connected Postnikov: methods |
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63 | (11) |
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13.1 top (M) and based homotopy classes |
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63 | (7) |
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13.2 Free homotopy classes |
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70 | (1) |
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13.3 Historical development |
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71 | (1) |
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13.4 Some simplifications |
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72 | (2) |
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14 Homotopy systems, chain complexes |
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74 | (6) |
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15 Non-1-connected spaces: calculations |
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80 | (14) |
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81 | (1) |
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15.2 Lens spaces of CA presentations |
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82 | (6) |
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15.3 (Pi, n)-complexes: XXX finite |
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88 | (4) |
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15.4 (Pi, n)-complexes: infinite XXX of finite Hirsch-rank |
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92 | (1) |
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93 | (1) |
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16 Whitehead torsion, simple homotopy |
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94 | (4) |
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16.1 Spaces for which T is surjective |
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95 | (1) |
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16.2 Spaces for which T is not surjective |
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96 | (1) |
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16.3 The image T(K(*)(PI1)(P(PI))) |
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96 | (1) |
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16.4 The pseudo-projective planes |
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96 | (1) |
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16.5 Finite (PI, n)-complexes |
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97 | (1) |
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98 | (10) |
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17.1 The union of two h-coloops |
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98 | (2) |
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17.2 Spaces of the form X = M(m)(XXX) XXX M(n)(PI) |
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100 | (2) |
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17.3 Spaces of the form S(m) V X |
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102 | (1) |
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17.4 The product of two h-loops |
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103 | (2) |
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17.5 A product or union: one space an h-loop or h-coloop |
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105 | (1) |
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17.6 The representation XXX(*)(X x Y) XXX(*)(X) x XXX(*)(Y) |
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106 | (1) |
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17.7 Unions and products of n spaces (n Greater than Equal to 3) |
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107 | (1) |
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17.8 Historical development |
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107 | (1) |
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18 Group theoretic properties |
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108 | (5) |
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108 | (1) |
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109 | (1) |
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18.3 Elements of order p and finiteness |
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109 | (2) |
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111 | (1) |
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111 | (1) |
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112 | (1) |
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19 Homotopy type, homotopy groups |
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113 | (8) |
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19.1 The homotopy type of E(X) |
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113 | (4) |
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19.2 Sections of XXX : E(X) XXX X |
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117 | (1) |
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19.3 The image of Delta(*) : PI(X)(1)(X:1) XXX PI1(X) |
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118 | (1) |
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19.4 Rational homotopy groups |
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119 | (1) |
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19.5 Nilpotent actions and finite type |
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119 | (2) |
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20 Homotopy automorphisms of H-spaces |
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121 | (3) |
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20.1 Products of H-spaces |
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122 | (1) |
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20.2 H-spaces of finite rank |
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122 | (1) |
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20.3 Group theoretic properties |
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123 | (1) |
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21 Fibre and equivariant HE's |
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124 | (6) |
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21.1 Fibre homotopy equivalences, classifying spaces |
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124 | (2) |
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21.2 An exact sequence for calculation |
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126 | (1) |
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21.3 Equivariant homotopy equivalences |
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127 | (1) |
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21.4 Nilpotency, arithmeticity and uncountability |
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128 | (1) |
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21.5 Equivalence of the theories |
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128 | (1) |
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129 | (1) |
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130 | (4) |
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22.1 Classification of spaces of the same n-type for all n |
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130 | (1) |
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22.2 Classification of fibre bundles and fibre spaces |
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131 | (2) |
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22.3 Sets of rational homotopy type |
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133 | (1) |
| Appendix A Arithmetic groups and commensurability |
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134 | (1) |
| Appendix B Nilpotency, rank and group actions |
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135 | (3) |
| References |
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138 | (25) |
| List of notation |
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163 | (2) |
| Index |
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165 | |
Lisainfo e-raamatute kohta