Boardmans Stable Homotopy Category

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  1. foundations for the stable homotopy category. - Mathematics Stack Exchange
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Please review our Terms and Conditions of Use and check box below to share full-text version of article. Abstract Working in the category T of based spaces, we give the basic theory of diagram spaces and diagram spectra. We construct and compare model structures on these categories.

Monoids in these categories are strict ring spectra. Often the subcategories of ring spectra, module spectra over a ring spectrum, and commutative ring spectra are also model categories. When this holds, the respective categories of ring and module spectra are Quillen equivalent and thus have equivalent homotopy categories. This allows interchangeable use of these categories in applications.

foundations for the stable homotopy category. - Mathematics Stack Exchange

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Free Boardmans Stable Homotopy Category

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A Review of Stable Homotopy Theory by Saul Glasman Pre-talbot 021313 mp4

Numdam MR 57 Zbl Milnor , The Steenrod algebra and its dual , Ann. Nishida , Cohomology operations in iterated loop spaces , Proc.

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