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Homology with simplicial coefficients

Part of the Lecture Notes in Mathematics book series (LNM,volume 1370)

Keywords

  • Short Exact Sequence
  • Weak Equivalence
  • Lift Property
  • Model Category Structure
  • Trivial Fibration

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References

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

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  2. A.K. Bousfield and D.M. Kan, “Homotopy limits, completions and localizations,” Lect. Notes in Math. 304, Springer, Berlin, 1972.

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  3. W.G. Dwyer and D.M. Kan, Hochschild-Mitchell cohomology of simplicial categories and the cohomology of simplicial diagrams of simplicial sets, Proc. Kon. Ned. Akad. van Wetensch. (Indag. Math.) (to appear).

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  4. D.M. Kan, A combinatorial definition of homotopy groups, Ann. of Math. 67 (1958), 282–312.

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  5. J.P. May, “Simplicial objects in algebraic topology,” Van Nostrand, 1967.

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  6. D.G. Quillen, “Homotopical algebra,” Lect. Notes in Math. 43, Springer, Berlin, 1967.

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© 1989 Springer-Verlag

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Dwyer, W.G., Kan, D.M. (1989). Homology with simplicial coefficients. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085225

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  • DOI: https://doi.org/10.1007/BFb0085225

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

  • eBook Packages: Springer Book Archive