Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-22T05:30:15.716Z Has data issue: false hasContentIssue false
  • English
  • Français

Near-Homeomorphisms of Nöbeling Manifolds

Published online by Cambridge University Press:  20 November 2018

A. Chigogidze  and
A. Nagórko
A. Chigogidze
Affiliation:
Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC, USA e-mail: [email protected][email protected]
A. Nagórko
Affiliation:
Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC, USA e-mail: [email protected][email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We characterize maps between $n$-dimensional Nöbeling manifolds that can be approximated by homeomorphisms.

Keywords

55M1054F45n-dimensional Nöbeling manifoldZ-set unknottingnear-homeomorphism
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 3 , 01 September 2010 , pp. 438 - 446
Copyright
Copyright © Canadian Mathematical Society 2010

References

[1] Bestvina, M., Bowers, P., Mogilsky, J., and Walsh, J., Characterization of Hilbert space manifolds revisited. Topology Appl. 24(1986), no. 1–3, 53–69. doi:10.1016/0166-8641(86)90049-0Google Scholar
[2] Chapman, T. A. and Ferry, S., Approximating homotopy equivalences by homeomorphisms. Amer. J. Math. 101(1979), no. 3, 583–607. doi:10.2307/2373799Google Scholar
[3] Chigogidze, A., Inverse spectra. North-Holland Mathematical Library, 53, North-Holland, Amsterdam, 1996.Google Scholar
[4] Ferry, S., The homeomorphism group of a compact Hilbert cube manifold is an ANR. Ann. Math. (2) 106(1977), no. 1, 101–119. doi:10.2307/1971161Google Scholar
[5] Levin, M., Characterizing Nöbeling spaces. http://front.math.ucdavis.edu/math.GT/0602361.Google Scholar
[6] Levin, M., A Z-set unknotting theorem for Nöbeling manifolds. http://front.math.ucdavis.edu/math.GT/0510571.Google Scholar
[7] Nagórko, A., Characterization and topological rigidity of Nöbeling manifolds. Ph.D. Thesis, Warsaw University, 2006. http://arxiv.org/abs/math/0602574.Google Scholar
[8] West, J. E., Open problems in infinite-dimensional topology. In: Open problems in topology, North Holland, Amsterdam, 1990, pp. 523–597.Google Scholar