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Beskrivning
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
J. Peter May, The University of Chicago, IllinoisMona Merling, University of Pennsylvania, Philadelphia, PennsylvaniaAngelica M. Osorno, Reed College, Portland, Oregon.
Innehållsförteckning
Introduction1. Preliminaries2. The simplicial and conceptual versions of the Segal machine3. The homotopical version of the Segal machine4. The generalized Segal machine5. The generalized operadic machine6. The equivalence between the Segal and operadic machines7. Proofs of technical results about the operadic machine8. Proofs of technical results about the Segal machine9. General topological groups and compact Lie groups10. Epilogue: Model categorical interpretationsA. Bearding functors $\mathscr {D}\longrightarrow G\mathscr {U}_*$B. Realization of levelwise $G$-cofibrations and $G$-equivalences