Splitting theorems for certain equivariant spectra / L. Gaunce Lewis, Jr.

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Bibliographic Details
Main Author: Lewis, L. G. (L. Gaunce), 1949-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2000.
Series:Memoirs of the American Mathematical Society ; no. 686.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Splitting theorems for certain equivariant spectra /  |c L. Gaunce Lewis, Jr. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2000. 
300 |a 1 online resource (ix, 89 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 686 
500 |a "Volume 144, number 686 (fourth of 5 numbers)." 
504 |a Includes bibliographical references (page 89). 
588 0 |a Print version record. 
505 0 0 |t Introduction  |t Notational conventions  |t Part 1. Geometrically split spectra  |t Section 1. The notion of a geometrically split $G$-spectrum  |t Section 2. Geometrically split $G$-spectra and $G$-fixed-point spectra  |t Section 3. Geometrically split $G$-spectra and II-fixed-point spectra  |t Section 4. Geometrically split spectra and finite groups  |t Section 5. The stable orbit category for an incomplete universe  |t Part 2. A toolkit for incomplete universes  |t Section 6. A vanishing theorem for fixed-point spectra  |t Section 7. Spanier-Whitehead duality and incomplete universes  |t Section 8. Change of group functors and families of subgroups  |t Section 9. Change of universe functors and families of subgroups  |t Section 10. The geometric fixed-point functor $\Phi ^\Lambda $ for incomplete universes  |t Section 11. The Wirthmüller isomorphism for incomplete universes  |t Section 12. An introduction to the Adams isomorphism for incomplete universes  |t Part 3. The longer proofs  |t Section 13. The proof of Proposition 3.10 and its consequences  |t Section 14. The proofs of the main splitting theorems  |t Section 15. The proof of the sharp Wirthmüller isomorphism theorem  |t Section 16. The proof of the Adams isomorphism theorem for incomplete universes  |t Section 17. The Adams transfer for incomplete universes. 
650 0 |a Homotopy theory. 
650 0 |a Algebraic topology. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Algebraic topology  |2 fast 
650 7 |a Homotopy theory  |2 fast 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 686.  |x 0065-9266 
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