Affiliation:
1. Department of Mathematics Swansea University Swansea UK
Abstract
AbstractA general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra is recovered from modules over a commutative symmetric ring spectrum defined in terms of framed correspondences over an algebraically closed field. Another application recovers stable motivic homotopy theory from spectral modules over associated spectral categories.
Funder
Engineering and Physical Sciences Research Council
Reference38 articles.
1. Reports of the Midwest category seminar, IV;Day B.,1970
2. A.Druzhinin H.Kolderup andP. A.Østvær StrictA1$\mathbb {A}^1$‐invariance over the integers arXiv:2012.07365.
3. Surjectivity of the Étale Excision Map for Homotopy Invariant Framed Presheaves
4. Hypercovers and simplicial presheaves
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