JournalsdmVol. 8pp. 409–488

Enriched functors and stable homotopy theory

  • Bjørn Ian Dundas

    Department of Mathematical Sciences, The Norwegian University of Science and Technology, Trondheim, Norway

  • Oliver Röndigs

    Department of Mathematics, The University of Western Ontario, London, Ontario, Canada

  • Paul Arne Østvær

    Department of Mathematics, University of Oslo, Oslo, Norway
    ORCID
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Abstract

In this paper we employ enriched category theory to construct a convenient model for several stable homotopy categories. This is achieved in a three-step process by introducing the pointwise, homotopy functor and stable model category structures for enriched functors. The general setup is shown to describe equivariant stable homotopy theory, and we recover Lydakis' model category of simplicial functors as a special case. Other examples – including motivic homotopy theory – will be treated in subsequent papers.

Cite this article

Bjørn Ian Dundas, Oliver Röndigs, Paul Arne Østvær, Enriched functors and stable homotopy theory. Doc. Math. 8 (2003), pp. 409–488

DOI 10.4171/DM/147