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Splitting theorems for certain equivariant spectra / [electronic resource] L. Gaunce Lewis, Jr.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 686Publication details: Providence, R.I. : American Mathematical Society, 2000.Description: 1 online resource (ix, 89 p.)ISBN:
  • 9781470402778 (online)
Subject(s): Additional physical formats: Splitting theorems for certain equivariant spectra /DDC classification:
  • 510 s 514/.24 21
LOC classification:
  • QA3 .A57 no. 686 QA612.7
Online resources:
Contents:
Introduction Notational conventions Part 1. Geometrically split spectra Section 1. The notion of a geometrically split $G$-spectrum Section 2. Geometrically split $G$-spectra and $G$-fixed-point spectra Section 3. Geometrically split $G$-spectra and II-fixed-point spectra Section 4. Geometrically split spectra and finite groups Section 5. The stable orbit category for an incomplete universe Part 2. A toolkit for incomplete universes Section 6. A vanishing theorem for fixed-point spectra Section 7. Spanier-Whitehead duality and incomplete universes Section 8. Change of group functors and families of subgroups Section 9. Change of universe functors and families of subgroups Section 10. The geometric fixed-point functor $\Phi ^\Lambda $ for incomplete universes Section 11. The Wirthm�uller isomorphism for incomplete universes Section 12. An introduction to the Adams isomorphism for incomplete universes Part 3. The longer proofs Section 13. The proof of Proposition 3.10 and its consequences Section 14. The proofs of the main splitting theorems Section 15. The proof of the sharp Wirthm�uller isomorphism theorem Section 16. The proof of the Adams isomorphism theorem for incomplete universes Section 17. The Adams transfer for incomplete universes
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13139

"Volume 144, number 686 (fourth of 5 numbers)."

Includes bibliographical references (p. 89).

Introduction Notational conventions Part 1. Geometrically split spectra Section 1. The notion of a geometrically split $G$-spectrum Section 2. Geometrically split $G$-spectra and $G$-fixed-point spectra Section 3. Geometrically split $G$-spectra and II-fixed-point spectra Section 4. Geometrically split spectra and finite groups Section 5. The stable orbit category for an incomplete universe Part 2. A toolkit for incomplete universes Section 6. A vanishing theorem for fixed-point spectra Section 7. Spanier-Whitehead duality and incomplete universes Section 8. Change of group functors and families of subgroups Section 9. Change of universe functors and families of subgroups Section 10. The geometric fixed-point functor $\Phi ^\Lambda $ for incomplete universes Section 11. The Wirthm�uller isomorphism for incomplete universes Section 12. An introduction to the Adams isomorphism for incomplete universes Part 3. The longer proofs Section 13. The proof of Proposition 3.10 and its consequences Section 14. The proofs of the main splitting theorems Section 15. The proof of the sharp Wirthm�uller isomorphism theorem Section 16. The proof of the Adams isomorphism theorem for incomplete universes Section 17. The Adams transfer for incomplete universes

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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The Institute of Mathematical Sciences, Chennai, India