Keywords
- Product Theorem
- Homotopy Equivalence
- Hilbert Cube
- Whitehead Group
- Simple Homotopy
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Bibliography
H. Bass, A. Heller, and R. Swan, The Whitehead group of a polynomial extension, Publ. de l'Inst. des Hautes Etudes Sci. #22 (1964).
K. Borsuk, Concerning homotopy properties of compacta, Fund. Math., 62 (1968), 223–254.
T. A. Chapman, Topological invariance of Whitehead torsion, Amer. J. of Math. (to appear).
_____, All Hilbert cube manifolds are triangulable, preprint.
_____, Classification of Hilbert cube manifolds and infinite simple homotopy types, preprint.
_____, Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory, preprint.
M. Cohen, A course in simple homotopy theory, preprint.
R. D. Edwards, The topological invariance of simple homotopy type for polyhedra, handwritten manuscript.
L. C. Siebenmann, Topological manifolds, Actes, Congres Intern. Math., 2 (1970), 133–163.
J. Stallings, Whitehead torsion of free products, Annals of Math., 82 (1965), 354–363.
J. E. West, Mapping cylinders of Hilbert cube factors, General Top. and its App., 1 (1971), 111–125.
J. H. C. Whitehead, Simple homotopy types, Amer. J. of Math., 72 (1952), 1–57.
R. C. Lacher, Cell-like mappings, I, Pacific J. of Math., 30 (1969), 717–731.
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© 1974 Springer-Verleg
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Chapman, T.A. (1974). Simple homotopy theory for compact Hilbert cube manifold factors. In: Dickman, R.F., Fletcher, P. (eds) Topology Conference. Lecture Notes in Mathematics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064011
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DOI: https://doi.org/10.1007/BFb0064011
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