J. Peter May, The University of Chicago, Illinois Mona Merling, University of Pennsylvania, Philadelphia, Pennsylvania Angelica M. Osorno, Reed College, Portland, Oregon.
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Description
Introduction 1. Preliminaries 2. The simplicial and conceptual versions of the Segal machine 3. The homotopical version of the Segal machine 4. The generalized Segal machine 5. The generalized operadic machine 6. The equivalence between the Segal and operadic machines 7. Proofs of technical results about the operadic machine 8. Proofs of technical results about the Segal machine 9. General topological groups and compact Lie groups 10. Epilogue: Model categorical interpretations A. Bearding functors $\mathscr {D}\longrightarrow G\mathscr {U}_*$ B. Realization of levelwise $G$-cofibrations and $G$-equivalences