Orderings and real places on commutative rings Higher algebraic K-theory of schemes and of derived categories. Appendix A: Exact categories and the Gabriel-Quillen embedding. Appendix B: Modules versus quasi-coherent modules. Appendix C: Absolute noetherian approximation. Appendix D: Hypercohomology with supports. Appendix E: The Nisnevich topology. Appendix F: Invariance under change of universe. 