%PDF-1.4 % 1 0 obj << /S /GoTo /D (028section.1) >> endobj 4 0 obj (1. Introduction) endobj 5 0 obj << /S /GoTo /D (028section*.6) >> endobj 8 0 obj (The classical cobordism spectra) endobj 9 0 obj << /S /GoTo /D (028section*.9) >> endobj 12 0 obj (The Eilenberg\205Mac Lane spectra HZ/p and HZ) endobj 13 0 obj << /S /GoTo /D (028section*.12) >> endobj 16 0 obj (Thom spectra arising from systems of groups) endobj 17 0 obj << /S /GoTo /D (028section*.15) >> endobj 20 0 obj (The strategy for analyzing THH\(T\(f\)\)) endobj 21 0 obj << /S /GoTo /D (028section*.18) >> endobj 24 0 obj (L\(1\)-spaces and S-modules) endobj 25 0 obj << /S /GoTo /D (028section*.19) >> endobj 28 0 obj (I-spaces and symmetric spectra) endobj 29 0 obj << /S /GoTo /D (028section*.21) >> endobj 32 0 obj (Organization of the paper) endobj 33 0 obj << /S /GoTo /D (028section.22) >> endobj 36 0 obj (2. Thom spectrum functors) endobj 37 0 obj << /S /GoTo /D (028subsection.23) >> endobj 40 0 obj (2.1. The Lewis\205May Thom spectrum functor) endobj 41 0 obj << /S /GoTo /D (028subsection.24) >> endobj 44 0 obj (2.2. Rigid Thom spectrum functors) endobj 45 0 obj << /S /GoTo /D (028section.34) >> endobj 48 0 obj (3. Proofs of the main results from the axioms) endobj 49 0 obj << /S /GoTo /D (028subsection.35) >> endobj 52 0 obj (3.1. Simplicial objects and geometric realization) endobj 53 0 obj << /S /GoTo /D (028subsection.38) >> endobj 56 0 obj (3.2. Consequences of the axioms) endobj 57 0 obj << /S /GoTo /D (028subsection.46) >> endobj 60 0 obj (3.3. Proofs of the main theorems) endobj 61 0 obj << /S /GoTo /D (028subsection.48) >> endobj 64 0 obj (3.4. Eilenberg\205Mac Lane spectra and p-local Thom spectra) endobj 65 0 obj << /S /GoTo /D (028subsection.50) >> endobj 68 0 obj (3.5. The Thom spectra MBr, MSigma and MGL\(Z\)) endobj 69 0 obj << /S /GoTo /D (028section.51) >> endobj 72 0 obj (4. Operadic products in the category of spaces) endobj 73 0 obj << /S /GoTo /D (028subsection.52) >> endobj 76 0 obj (4.1. The weak symmetric monoidal category of L\(1\)-spaces) endobj 77 0 obj << /S /GoTo /D (028subsection.60) >> endobj 80 0 obj (4.2. Monoids and commutative monoids for the L-product) endobj 81 0 obj << /S /GoTo /D (028subsection.63) >> endobj 84 0 obj (4.3. The symmetric monoidal category of *-modules) endobj 85 0 obj << /S /GoTo /D (028subsection.69) >> endobj 88 0 obj (4.4. Monoids and commutative monoids in M\137*) endobj 89 0 obj << /S /GoTo /D (028subsection.71) >> endobj 92 0 obj (4.5. Functors to spaces) endobj 93 0 obj << /S /GoTo /D (028subsection.74) >> endobj 96 0 obj (4.6. Model category structures) endobj 97 0 obj << /S /GoTo /D (028subsection.81) >> endobj 100 0 obj (4.7. Homotopical analysis of the L-product) endobj 101 0 obj << /S /GoTo /D (028section.89) >> endobj 104 0 obj (5. Implementing the axioms for L\(1\)-spaces) endobj 105 0 obj << /S /GoTo /D (028subsection.90) >> endobj 108 0 obj (5.1. Review of the properties of the Lewis\205May Thom spectrum functor) endobj 109 0 obj << /S /GoTo /D (028subsection.106) >> endobj 112 0 obj (5.2. Verification of the axioms) endobj 113 0 obj << /S /GoTo /D (028section.112) >> endobj 116 0 obj (6. Modifications when working over BF) endobj 117 0 obj << /S /GoTo /D (028subsection.113) >> endobj 120 0 obj (6.1. A review of the properties of Gamma) endobj 121 0 obj << /S /GoTo /D (028subsection.120) >> endobj 124 0 obj (6.2. Gamma and cofibrant replacement) endobj 125 0 obj << /S /GoTo /D (028section.125) >> endobj 128 0 obj (7. Preliminaries on symmetric spectra) endobj 129 0 obj << /S /GoTo /D (028subsection.126) >> endobj 132 0 obj (7.1. The detection functor) endobj 133 0 obj << /S /GoTo /D (028subsection.127) >> endobj 136 0 obj (7.2. The flatness condition for symmetric spectra) endobj 137 0 obj << /S /GoTo /D (028subsection.136) >> endobj 140 0 obj (7.3. Flat replacement of symmetric spectra) endobj 141 0 obj << /S /GoTo /D (028section.142) >> endobj 144 0 obj (8. Implementing the axioms for symmetric spectra) endobj 145 0 obj << /S /GoTo /D (028subsection.143) >> endobj 148 0 obj (8.1. Symmetric spectra and I-spaces) endobj 149 0 obj << /S /GoTo /D (028section*.144) >> endobj 152 0 obj (Axiom \(A1\)) endobj 153 0 obj << /S /GoTo /D (028section*.145) >> endobj 156 0 obj (Axiom \(A2\)) endobj 157 0 obj << /S /GoTo /D (028section*.147) >> endobj 160 0 obj (Flat replacement and Axiom \(A3\)) endobj 161 0 obj << /S /GoTo /D (028section*.155) >> endobj 164 0 obj (Axiom \(A4\)) endobj 165 0 obj << /S /GoTo /D (028section*.159) >> endobj 168 0 obj (Axiom \(A5\)) endobj 169 0 obj << /S /GoTo /D (028section*.161) >> endobj 172 0 obj (Axiom \(A6\)) endobj 173 0 obj << /S /GoTo /D (028subsection.165) >> endobj 176 0 obj (8.2. The proof of Theorem 1 in the general case) endobj 177 0 obj << /S /GoTo /D (028appendix.172) >> endobj 180 0 obj (Appendix A. Loop maps and A\137infinity maps) endobj 181 0 obj << /S /GoTo /D (028section*.176) >> endobj 184 0 obj (References) endobj 185 0 obj << /S /GoTo /D [186 0 R /FitBH ] >> endobj 193 0 obj << /Length 2890 /Filter /FlateDecode >> stream xڵnH=_}YPad`r'3v$ fy%&&뷪/)r0GUuUtqH\={&Z1X,(IBiEx[nبF%\J=,Ϲ̓cB4X̀Dohf탇sN4bydʔ4_jg(Uwe98 Q2܍I_{ bx3Fs P3Z%}wUw=nx_]r=tҳP,T |2HJ;4OJUGXMN55:@R+.$l! Tp