Duality and Pro-Spectra

@inproceedings{Christensen2004DualityAP,
  title={Duality and Pro-Spectra},
  author={J. Daniel Christensen and Daniel Isaksen},
  year={2004}
}
Cofiltered diagrams of spectra, also called pro-spectra, have arisen in diverse areas, and to date have been treated in an ad hoc manner. The purpose of this paper is to systematically develop a homotopy theory of pro-spectra and to study its relation to the usual homotopy theory of spectra, as a foundation for future applications. The surprising result we find is that our homotopy theory of pro-spectra is Quillen equivalent to the opposite of the homotopy theory of spectra. This provides a… CONTINUE READING

From This Paper

Topics from this paper.
12 Citations
20 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Genetics of homotopy theory and the Adams conjecture

  • D. Sullivan
  • Ann. of Math. (2) 100 (1974), 1–79. Dept of Math…
  • 2004
1 Excerpt

Model categories and their localizations

  • P. S. Hirschhorn
  • Mathematical Surveys and Monographs, vol. 99…
  • 2003
1 Excerpt

Symmetric spectra

  • M. Hovey, B. Shipley, J. Smith
  • J. Amer. Math. Soc. 13
  • 2000
2 Excerpts

Similar Papers

Loading similar papers…