Equivariant Infinite Loop Space Theory : The Space Level Story (Memoirs of the American Mathematical Society)

May, J. Peter/ Merling, Mona/ Osorno, Angelica M.

American Mathematical Society（2025/05発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 136 p.
言語 ENG
商品コード 9781470472481

Full 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.

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