Concordances of Hilbert cube manifolds
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- by T. A. Chapman PDF
- Trans. Amer. Math. Soc. 219 (1976), 253-268 Request permission
Abstract:
The main result of this paper asserts that homotopy groups of concordances of compact Hilbert cube manifolds are isomorphic to homotopy groups of concordances of compact finite-dimensional piecewise-linear manifolds. This enables us to apply some finite-dimensional results to obtain some new information about homotopy groups of homeomorphism groups of compact Hilbert cube manifolds. Our approach also yields a much shorter proof of the local contractibility of the homeomorphism group of any compact Hilbert cube manifold.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 253-268
- MSC: Primary 57A20; Secondary 57E05
- DOI: https://doi.org/10.1090/S0002-9947-1976-0402754-8
- MathSciNet review: 0402754