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Cell-like mappings

Part of the Lecture Notes in Mathematics book series (LNM,volume 428)

Keywords

  • Homotopy Type
  • Main Lemma
  • Homotopy Equivalent
  • Regular Neighborhood
  • Compact Polyhedron

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References

  1. T. A. Chapman, Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory, Bull. Amer. Math. Soc., to appear.

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  2. R. D. Edwards, TOP regular neighborhoods, handwritten manuscript.

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  3. R. C. Kirby, Lectures on triangulation of manifolds, UCLA, 1969.

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  4. R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc. 75(1969), 742–749.

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  5. C. Lacher, Cell-like mappings I, Pacific J. of Math. 30(1969), 717–731.

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  6. R. B. Sher, Realizing cell-like maps in euclidean space, General Top. and its App. 2(1972), 75–89.

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

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  8. _____, On the homotopy type of compact topological manifolds, Bull. Amer. Math. Soc. 74(1968), 738–742.

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  9. _____, Approximating cellular maps by homeomorphisms, Topology, to appear.

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© 1974 Springer-Verlag

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Chapman, T.A. (1974). Cell-like mappings. In: McAuley, L.F. (eds) Algebraic and Geometrical Methods in Topology. Lecture Notes in Mathematics, vol 428. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070541

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  • DOI: https://doi.org/10.1007/BFb0070541

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07019-1

  • Online ISBN: 978-3-540-37300-1

  • eBook Packages: Springer Book Archive