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Shape Theory and Geometric Topology pp 73–81Cite as

A simple-homotopy approach to the finiteness obstruction

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References

  1. T.A. Chapman and L.C. Siebenmann, Finding a boundary for a Hilbert cube manifold, Acta Mathematica 137 (1976), 171–208.

    Article  MathSciNet  MATH  Google Scholar 

  2. T.A. Chapman, Homotopy conditions which detect simple homotopy equivalences, Pacific J. Math. 80 (1979), 13–45.

    Article  MathSciNet  MATH  Google Scholar 

  3. _____, Whitehead torsion and the Wall finiteness obstruction, to appear.

    Google Scholar 

  4. M. Cohen, A Course in Simple-Homotopy Theory, Springer-Verlag, Berlin and New York.

    Google Scholar 

  5. _____, Simplicial structures and transverse cellularity, Annals of Math. 85 (1967), 218–245.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Hatcher, Higher simple homotopy theory, Annals of Math. 102 (1975), 101–139.

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Ferry, Homotopy, simple homotopy, and compacta, Topology 19 (1980), 101–110.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Mather, Counting homotopy types of topological manifolds, Topology 4 (1965), 93–94.

    Article  MathSciNet  MATH  Google Scholar 

  9. F. Quinn, Ends of maps, I, Annals of Math. 110 (1979), 275–331.

    Article  MathSciNet  MATH  Google Scholar 

  10. L.C. Siebenmann, Infinite simple homotopy types, Indag. Math. 32 (1970), 479–495.

    Article  MathSciNet  MATH  Google Scholar 

  11. C.T.C. Wall, Finiteness conditions for CW-complexes, Annals of Math. 106 (1977), 1–18.

    Article  Google Scholar 

  12. _____, Finiteness conditions for CW-complexes II, Proc. Roy. Soc. Ser. A., 295 (1966), 129–139.

    Article  MathSciNet  Google Scholar 

  13. J.H.C. Whitehead, Simple homotopy types, Amer. J. Math. 72 (1952), 1–57.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, 40506, Lexington, Kentucky

    Steve Ferry

Authors
  1. Steve Ferry
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Sibe Mardešić Jack Segal

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© 1981 Springer-Verlag

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Ferry, S. (1981). A simple-homotopy approach to the finiteness obstruction. In: Mardešić, S., Segal, J. (eds) Shape Theory and Geometric Topology. Lecture Notes in Mathematics, vol 870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089708

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  • DOI: https://doi.org/10.1007/BFb0089708

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10846-7

  • Online ISBN: 978-3-540-38749-7

  • eBook Packages: Springer Book Archive

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