A simplicial group construction for balanced products (Q789062)
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scientific article; zbMATH DE number 3844641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simplicial group construction for balanced products |
scientific article; zbMATH DE number 3844641 |
Statements
A simplicial group construction for balanced products (English)
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1984
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For a right G-space X, where G is a discrete group, a simplicial group \(J_ G(X)\) is constructed. There is also a based version generalizing the usual James construction [\textit{I. M. James}, Ann. Math., II. Ser. 62, 170-197 (1955; Zbl 0064.415)]. The homotopy type of the constructions given is studied. It is hoped that there will be applications to Adams- type spectral sequences.
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Adams spectral sequence
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discrete group actions
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equivariant James construction
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simplicial group
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