Equivariant Infinite Loop Space Theory
The Space Level Story
Published on 31. May 2025
Book
Paperback/Softback
136 pages
978-1-4704-7248-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7248-1 (9781470472481)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
J. Peter May, The University of Chicago, Illinois
Mona Merling, University of Pennsylvania, Philadelphia, Pennsylvania
Angelica M. Osorno, Reed College, Portland, Oregon.
Mona Merling, University of Pennsylvania, Philadelphia, Pennsylvania
Angelica M. Osorno, Reed College, Portland, Oregon.
Content
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
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