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摘要
The homotopy theory. In this paper, we develop the homotopy theory of small functors from spectra to spectra, and study its interplay with Spanier-Whitehead duality and enriched representability in the dual category of spectra. We note that the Spanier-Whitehead duality functor D: Sp -> Sp(op) factors through the category of small functors from spectra to spectra, and construct a new model structure on the category of small functors, which is Quillen equivalent to Sp(op). In this new framework for the Spanier-Whitehead duality, Sp and Sp(op) are full subcategories of the category of small functors and dualization becomes just a fibrant replacement in our new model structure.
- 出版日期2015
