Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures. (English) Zbl 0766.55006
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.
Reviewer: R.J.Steiner (Glasgow)
MSC:
| 55P47 | Infinite loop spaces |
References:
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