Generalized Tate cohomology

General Introduction
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Online References
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Paper References
[CDATA[Greenlees and May: Generalized Tate cohomology (book). This book presents a full and systematic study of a new equivariant cohomology theory t(k[G)* constructed from any given equivariant cohomology theory k*[G, where G is a compact Lie group. The new theories play a central role in relating equivariant algebraic topology with current areas of interest in nonequivariant algebraic topology. Their study is essential to a full understanding of such "completion theorems" as the AtiyahSegal completion theorem in Ktheory and the Segal conjecture in cohomotopy.
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
AdemCohenDwyer in CONM96, not so interesting.
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Other Information
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