Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures (Q1203545)
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scientific article; zbMATH DE number 119844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures |
scientific article; zbMATH DE number 119844 |
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Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures (English)
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10 February 1993
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The idea of this paper is to apply homological methods to diagrams of topological spaces. The authors use the term \(\mathcal C\)-module for a diagram indexed by a category \(\mathcal C\). They define tensor products, hom- factors and bar constructions, and show that they have many of the usual properties. As a more or less immediate consequence, they derive much of the theory of homotopy limits and colimits. They also give non- computational proofs of some results in infinite loop space theory.
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homotopy limit
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homotopy colimit
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\(E\)-infinity monoid
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ring space
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