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Homotopic homeomorphisms of Hilbert cube manifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 438)

Keywords

  • Exact Sequence
  • Homotopy Equivalence
  • Open Embedding
  • Hilbert Cube
  • Hilbert Manifold

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References

  1. W. Barit, Some properties of certain subsets of infinite dimensional spaces, Doctoral Dissertation, Louisiana State University, 1971.

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  2. D. Burghelea and D. W. Henderson, Smoothings and homeomorphisms for Hilbert manifolds, Bull. A.M.S. 76 (1970), 1261–1265.

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  3. T. A. Chapman, Surgery and handle straightening in Hilbert cube manifolds, Pacific J. of Math. 45 (1973), 59–79.

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  4. _____, Topological invariance of Whitehead torsion, Amer. J. of Math., to appear.

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  5. _____, Notes on Hilbert cube manifolds, preprint.

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  6. A. E. Hatcher and J. Wagoner, Pseudo-isotopies of compact manifolds, preprint.

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  7. J. F. P. Hudson, Piecewise-linear topology, W. A. Benjamin, Inc., New York, 1969.

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  8. E. Michael, Continuous selections II, Annals of Math. 64 (1956), 562–580.

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  9. T. A. Chapman, Homeomorphisms of Hilbert cube manifolds, Trans. A.M.S., to appear.

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© 1975 Springer-Verlag

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Chapman, T.A. (1975). Homotopic homeomorphisms of Hilbert cube manifolds. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066110

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  • DOI: https://doi.org/10.1007/BFb0066110

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07137-2

  • Online ISBN: 978-3-540-37412-1

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