• DOI:10.1090/s0894-0347-99-00320-3
• Corpus ID: 14239043

Symmetric spectra

@inproceedings{Hovey1998SymmetricS,
  title={Symmetric spectra},
  author={Mark Hovey and Brooke E. Shipley and Jeff Smith},
  year={1998}
}

• Mark Hovey, B. Shipley, Jeff Smith
• Published 16 January 1998
• Mathematics

Introduction 2 1. Symmetric spectra 5 1.1. Simplicial sets 5 1.2. Symmetric spectra 6 1.3. Simplicial structure on Sp 8 1.4. Symmetric Ω-spectra 10 2. The smash product of symmetric spectra 11 2.1. Symmetric sequences 11 2.2. Symmetric spectra 14 2.3. The ordinary category of spectra 18 3. Stable homotopy theory of symmetric spectra 19 3.1. Stable equivalence 20 3.2. Model categories 26 3.3. Level structure 32 3.4. Stable model category 34 4. Comparison with the Bousfield-Friedlander category 39 4.1. Quillen equivalences 39 4.2. The stable Bousfield-Friedlander category 41 4.3. The Quillen equivalence 42 4.4. Description of V 45 5. Additional properties of symmetric spectra 46 5.1. Level model structure 46 5.2. Stable cofibrations 51 5.3. Pushout smash product 52 5.4. Proper model categories 56 5.5. The monoid axiom 58 5.6. Semistable spectra 61 6. Topological spectra 63 6.1. Compactly generated spaces 63 6.2. Topological spectra 66 6.3. Stable model structure 67 6.4. Properties of topological symmetric spectra 73 References 76