A commutative P¹-spectrum representing motivic cohomology over dedekind domains

Chapter 1. Introduction
	Acknowledgements
Chapter 2. Preliminaries and Notation
Chapter 3. Motivic complexes I
Chapter 4. The construction
	4.1. The p-parts
		4.1.1. Finite coefficients
		4.1.2. The p-completed parts
	4.2. The completed part
	4.3. The rational parts
	4.4. The definition
Chapter 5. Motivic Complexes II
	5.1. A strictification
	5.2. Properties of the motivic complexes
		5.2.1. Comparison to flat maps
		5.2.2. Some localization triangles
		5.2.3. The étale cycle class map
	5.3. The naive Gm-spectrum
Chapter 6. Motivic complexes over a field
Chapter 7. Comparisons
	7.1. The exceptional inverse image of M
	7.2. Pullback to the generic point
	7.3. Weight 1 motivic complexes
	7.4. Rational spectra
	7.5. The isomorphism between MZ and M
Chapter 8. Base change
Chapter 9. The motivic functor formalism
Chapter 10. Further applications
	10.1. The Hopkins-Morel isomorphism
	10.2. The dual motivic Steenrod algebra
Appendix A. (Semi) model structures
Appendix B. Pullback of cycles
Appendix C. An explicit periodization of MZ
Bibliography