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On the homotopy category of Moore spaces and an old result of Barratt

  • Homotopy Theory
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Algebraic Topology Poznań 1989

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1474))

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Literature

  1. Barratt, M.G.: (HR) Homotopy ringoids and homotopy groups. Q. J. Math. Ox (2) 5 (1954) 271–290.

    Article  MathSciNet  Google Scholar 

  2. Barratt, M.G.: (T) Track groups (II). Proc. London Math. Soc. (3) 5 (1955) 285–329.

    Article  MathSciNet  MATH  Google Scholar 

  3. Baues, H.J.: Algebraic Homotopy, Cambridge Studies in Advanced Mathematics 15. Cambridge University Press (1988) 450 pages.

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  4. Baues, H.J.: Commutator calculus and groups of homotopy classes. London Math. Soc. LNS 50 (1981).

    Google Scholar 

  5. Baues, H.J.: Combinatorial homotopy and 4-dimensional complexes, to appear in Walter de Gruyter Verlag (350 pages).

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  6. Brown, R. and Higgins, P.J.: Tensor products and homotopies for ω-groupoids and crossed complexes. Journal of Pure and Applied Algebra 47 (1987) 1–33.

    Article  MathSciNet  MATH  Google Scholar 

  7. Hilton, P.: Homotopy theory and duality. Nelson (1965) Gordon Breach.

    Google Scholar 

  8. James, I.M.: Reduced product spaces, Ann. of Math. 62 (1955), 170–97.

    Article  MathSciNet  MATH  Google Scholar 

  9. Olum, P.: Self-equivalences of pseudo-projective planes. Topology 4 (1965) 109–127.

    Article  MathSciNet  MATH  Google Scholar 

  10. Rutter, J.W.: Homotopy classification of maps between pseudo-projective planes. Quaestiones Math. 11 (1988) 409–422.

    Article  MathSciNet  MATH  Google Scholar 

  11. Sieradski, A.: A semigroup of simple homotopy types. Math. Zeit. 153 (1977) 135–148.

    Article  MathSciNet  MATH  Google Scholar 

  12. Whitehead, J.H.C.: Combinatorial homotopy II. Bull. AMS 55 (1949) 213–245.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, 5300, Bonn 3, BRD

    Hans Joachim Baues

Authors
  1. Hans Joachim Baues
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Stefan Jackowski Bob Oliver Krzystof Pawałowski

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© 1991 Springer-Verlag

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Baues, H.J. (1991). On the homotopy category of Moore spaces and an old result of Barratt. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084748

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  • DOI: https://doi.org/10.1007/BFb0084748

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54098-4

  • Online ISBN: 978-3-540-47403-6

  • eBook Packages: Springer Book Archive

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