A Short Note on Models for Equivariant Homotopy Theory

نویسنده

  • B. GUILLOU
چکیده

These notes explore equivariant homotopy theory from the perspective of model categories in the case of a discrete group G. Section 2 reviews the situation for topological spaces, largely following [May]. In section 3, we discuss two approaches to equivariant homotopy theory in more general model categories. Section 4 discusses some examples to which the material from Section 3 applies. In particular, the final example discusses equivariant homotopy theory in Morel and Voevodsky’s A-homotopy category (still for a discrete group G). Finally, section 5 discusses briefly the coarse, or naive, model structure.

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تاریخ انتشار 2006