Dold-kan Type Theorem for ? -groups by Teimuraz Pirashvili

@inproceedings{Razmadze1998DoldkanTT,
  title={Dold-kan Type Theorem for ? -groups by Teimuraz Pirashvili},
  author={Alexander Razmadze and Math Inst Alexidze and Tbilisi and H.-J Baues and J.-L Loday and Erik K. Pedersen},
  year={1998}
}
0. Introduction ?-spaces were introduced by Segal S], who proved that they are com-binatorial models for connective spectra (see also A], BF]). Based on Kan-Thurston theorem we show that any ?-space is stably weak equivalent to a discrete ?-group. By a well-known theorem of Dold-Kan the Moore normalization establishes the equivalence between the category of simplicial abelian groups and the category of chain complexes (see DP]). mimicking the construction of normalization of simplicial groups… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 15 references

Grund. Math. Wiss

  • L ] J.-L Loday, Cyclic Homology
  • Grund. Math. Wiss
  • 1997

Distributivgesetze in der Homotopietheorie. Bonner Mathematische Schriften. v. 249

  • D W Dreckmann
  • Distributivgesetze in der Homotopietheorie…
  • 1993

Higher-dimensional crossed modules and the homotopy groups of (n+1)-ads

  • Es, G Ellis, R Steiner
  • J. Pure Appl. Algebra
  • 1987

A note on groups with projections

  • R St, Steiner
  • J. Pure Appl. Algebra
  • 1982

Commutator calculus and groups of homotopy classes Quadratic endofunctors of the category of groups

  • H.-J Baues
  • London Mathematical Society Lecture Note Series
  • 1981

Groups with projections and applications to homotopy theory

  • E W End
  • J. Pure Appl. Algebra
  • 1980

Homotopy theory of ?spaces , spectra, and bisimplicial sets. Geometric applications of homotopy theory

  • Bf A K Bousseld, E M Friedlander
  • Proc. Conf., Evanston, Ill., 1977), II
  • 1978

Every connected space has the homology of a K(; 1)

  • Kt D Kan, W P Thurston
  • Topology
  • 1976

Categories and cohomology theories

  • S G Segal
  • Topology
  • 1974

Chain functors and homology theories

  • A D W Anderson
  • Notes in Math
  • 1971

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