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Localization and genus in group theory and homotopy theory

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Book cover Algebraic Topology: New Trends in Localization and Periodicity

Part of the book series: Progress in Mathematics ((PM,volume 136))

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Bibliography

  1. J. F. Adams, Localisation and Completion, Lecture Notes University of Chicago, 1975.

    MATH  Google Scholar 

  2. A. J. Berrick, C. Casacuberta, Groups and Spaces with all Localizations Trivial, 1990 Barcelona Conference on Algebraic Topology; Springer Lect. N. 1509 (1992), 20–29.

    Google Scholar 

  3. A. K. Bousfield, The localization of spaces with respect to homology, Topology 14 (1975), 133–150.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. K. Bousfield, Constructions of factorization systems in categories, J. Pure Appl. Algebra 9 (1977), 207–220.

    Article  MathSciNet  MATH  Google Scholar 

  5. A.K. Bousfield, D.M. Kan, Homotopy Limits, Completions and Localizations, Springer-Verlag, Berlin/New York, 1987 (second corrected printing).

    Google Scholar 

  6. C. Casacuberta, G. Peschke, Localizing with respect to self maps of the circle, Trans. AMS 339, 117–140.

    Google Scholar 

  7. C. Casacuberta, G. Peschke, M. Pfenniger, On Orthogonal Pairs in Categories and Localisation, Adams Memorial Symposium on Algebraic Topology, (N. Ray, G. Walker editors); London Math. Soc. Lect. N. Ser. 175, Cambridge UP, 1992, pp. 211–223.

    Google Scholar 

  8. E. Dror Farjoun, Homotopy Localization and υ 1 -periodic Spaces, Proceedings 1990 Barcelona Conference on Algebraic Topology, Springer-Verlag, 1992, pp. 104–113.

    Google Scholar 

  9. P. J. Hilton, G. Mislin, Bicartesian Squares of Nilpotent Groups, Comment. Math. Helv. 50 (1975), 477–491.

    Article  MathSciNet  MATH  Google Scholar 

  10. P. J. Hilton, G. Mislin, J. Roitberg, Localization of Nilpotent Groups and Spaces, North-Holland, Amsterdam, 1975.

    MATH  Google Scholar 

  11. G. Peschke, Localizing groups with action, Publ. Matem. 33 (1989), 227–234.

    MathSciNet  MATH  Google Scholar 

  12. G. Peschke, Localization and Genus in Group Theory, Trans. AMS, to appear.

    Google Scholar 

  13. G. Peschke, P. Symonds, Various local global principles for abelian groups, to appear in Publ. Matem.

    Google Scholar 

  14. D. C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), 351–414.

    Article  MathSciNet  MATH  Google Scholar 

  15. P. Ribenboim, Torsion et localisation de groupes arbitraires, Lecture Notes in Math. 740 (1978), 444–456.

    Article  MathSciNet  Google Scholar 

  16. D. Sullivan, Geometric Topology I and II, MIT Notes (1970).

    Google Scholar 

  17. D. Sullivan, Genetics of homotopy theory and the Adams conjecture, Ann. of Math. 100 (1974), 1–79.

    Article  MathSciNet  MATH  Google Scholar 

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© 1996 Birkhäuser Verlag

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Peschke, G. (1996). Localization and genus in group theory and homotopy theory. In: Broto, C., Casacuberta, C., Mislin, G. (eds) Algebraic Topology: New Trends in Localization and Periodicity. Progress in Mathematics, vol 136. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9018-2_28

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  • DOI: https://doi.org/10.1007/978-3-0348-9018-2_28

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9869-0

  • Online ISBN: 978-3-0348-9018-2

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