Introduction 1. Preliminaries 2. Coordinate-free spectra 3. Coordinatized prespectra 4. Comparison with coordinatized spectra 5. The stable simplicial model structure 6. The $Â1$-local model structure 7. Characterization of $Â1$-weak equivalences 8. Change of universe 9. The space of linear injections preserving finite subspaces 10. Twisted half-smash products and twisted function spectra 11. The category of $\mathbb {L}$-spectra 12. Unital properties of $\mathbb {L}$-spectra 13. The category of $S$-modules 14. $S$-algebras and their modules 15. Proofs of the model structure theorems 16. Technical results on the extended injections operad 17. Appendix: Small objects in the category of simplicial sheaves
