Equivariant Infinite Loop Space Theory: The Space Level Story
Author:   J. Peter May ,  Mona Merling ,  Angelica M. Osorno
Publisher:   American Mathematical Society
ISBN:  

9781470472481


Pages:   136
Publication Date:   31 May 2025
Format:   Paperback
Availability:   Out of stock   Availability explained
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Equivariant Infinite Loop Space Theory: The Space Level Story


Overview

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.

Full Product Details

Author:   J. Peter May ,  Mona Merling ,  Angelica M. Osorno
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470472481


ISBN 10:   1470472481
Pages:   136
Publication Date:   31 May 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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

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Author Information

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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