Phantom maps and homology theories

Topology

Volumn 37, Issue 2, 1998, Pages 339-364

  Christensen, J Daniel ^a   Strickland, Neil P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032012178     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(97)00031-1     Document Type: Article

References (28)

1. 1. H. J. Baues: Algebraic Homotopy, Cambridge Studies in Advanced Mathematics, Vol. 15, Cambridge University Press, Cambridge (1989).
2. 2. A. K. Bousfield and D. M. Kan: Homotopy limits, completions and localizations, SLNM 304, Springer, Berlin (1972).
3. 3. E. H. Brown and M. Comenetz: Pontrjagin duality for generalized homology and cohomology theories, Amer. J. Math. 98 (1976), 1-27.
4. 4. J. D. Christensen: Ideals in triangulated categories: phantoms, ghosts and skeleta, Ph.D. thesis, Massachusetts Institute of Technology (1997).
5. 5. P. Freyd: Stable homotopy, in Proc. Conf. on Categorical algebra, La Jolla, California, 1965, S. Eilenberg, D. K. Harrison, S. Mac Lane and H. Röhrl, Eds, Springer, New York (1966), pp. 121-172.
6. 6. L. Fuchs: Infinite abelian groups, Vol. I, Academic Press, New York (1970).
7. 7. B. Gray: Operations and a problem of Heller, Ph.D. thesis, University of Chicago (1965).
8. 8. B. Gray: Spaces of the same n-type, for all n, Topology 5 (1966), 241-243.
9. 9. B. Gray and C. A. McGibbon: Universal phantom maps, Topology 32 (1993), 371-394.
10. 10. P. Griffith: A note on a theorem of Hill, Pacific J. Math. 29 (1969), 279-284.
11. 11. A. Grothendieck: Sur quelque points d'algèbre homologique, Tôhoku Math. J. 9 (1957), 119-221.
12. 12. A. Grothendieck: Technique de descente et théorémes d'existence en géométrie algébrique II: le théorème d'existence en théorie formelle des modules, Séminaire Bourbaki 195 (1960).
13. 13. A. Grothendieck and J. L. Verdier: Théorie des topos et cohomologie étale des schémas, Tome 1: Théorie des topos, (SGA 4, second edition), SLNM 269, Springer, Berlin (1972).
14. 14. R. Hartshorne: Residues and Duality, SLNM 20, Springer, Berlin (1966).
15. 15. M. Hovey, J. H. Palmieri and N. P. Strickland: Axiomatic stable homotopy theory, Mem. Amer. Math. Soc., to appear.
16. 16. M. Huber and W. Meier: Cohomology theories and infinite CW-complexes, Comment. Math. Helv. 53 (1978), 239-257.
17. 17. S. O. Kochman: Integral cohomology operations, In Current trends in algebraic toplogy, Vol. 2, Part 1, R. M. Kane, Ed., American Mathematical Society, Providence, RI (1982), pp. 437-478.
18. 18. L. G. Lewis, J. P. May and M. Steinberger, with contributions by J. E. McClure: Equivariant Stable Homotopy Theory, SLNM 1213, Springer, New York (1986).
19. 19. T. Y. Lin: Duality and Eilenberg-Mac Lane spectra, Proc. Amer. Math. Soc. 56 (1976), 291-299.
20. 20. S. Mac Lane: Categories for the Working Mathematician, Graduate Texts in Mathematics, Vol. 5, Springer, Berlin (1971).
21. 21. H. R. Margolis: Eilenberg-Mac Lane Spectra, Proc. Amer. Math. Soc. 43 (1974), 409-415.
22. 22. H. R. Margolis: Spectra and the Steenrod Algebra, North-Holland, Amsterdam (1983).
23. 23. A. Neeman: Some new axioms for triangulated categories, J. Algebra 139 (1991), 221-255.
24. 24. A. Neeman: On a theorem of Brown and Adams, Topology 36 (1997), 619-645.
25. 25. T. Ohkawa: A vanishing theorem of Araki-Yosimura-Bousfield-Kan spectral sequences. Hiroshima Math. J. 23 (1993), 1-14.
26. 26. J.-P. Pezennec: Propriétés topologiques de [X, Y] et fantômes de finitude, Bull. Soc. Math. France 107 (1979), 113-126.
27. 27. D. C. Ravenel: Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), 351-414.
28. 28. Zen-ichi Yosimura: Hausdorff condition for Brown-Peterson cohomologies, Osaka J. Math. 25 (1988), 88-890.