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Equivariant Infinite Loop Space Theory - J. Peter May, Mona Merling, Angelica M. Osorno

Equivariant Infinite Loop Space Theory

The Space Level Story
Buch | Softcover
136 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7248-1 (ISBN)
CHF 139,30 inkl. MwSt
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Featuring original research in pure and applied mathematics, this series showcases extended, interrelated papers presented as unified volumes. Overseen by the Editorial Committee from a prominent AMS journal, every study is rigorously peer-reviewed, ensuring meticulous scholarly contributions that advance the field.
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, Illinois Mona Merling, University of Pennsylvania, Philadelphia, Pennsylvania Angelica M. Osorno, Reed College, Portland, Oregon.

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

Erscheinungsdatum
Reihe/Serie Memoirs of the American Mathematical Society
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7248-1 / 1470472481
ISBN-13 978-1-4704-7248-1 / 9781470472481
Zustand Neuware
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