• Category Theory
• Algebraic Topology
• Operads
• Homotopy

The thesis presents an account of two models of infinity-operads, together with Quillen’s model structures describing their homotopy theory. A result of Quillen equivalence between these two models is then exposed. Finally, we introduce Lurie’s definition of infinity-operads and discuss the most recent results which establish the equivalence of the above models with this latter.