Geodesic
Near-Homeomorphisms of Nöbeling Manifolds
Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 438-446

Voir la notice de l'article provenant de la source Cambridge University Press

We characterize maps between $n$ -dimensional Nöbeling manifolds that can be approximated by homeomorphisms.
DOI : 10.4153/CMB-2010-051-9
Mots-clés : 55M10, 54F45, n-dimensional Nöbeling manifold, Z-set unknotting, near-homeomorphism 
Chigogidze, A.; Nagórko, A. Near-Homeomorphisms of Nöbeling Manifolds. Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 438-446. doi: 10.4153/CMB-2010-051-9
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-051-9/}
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[1] [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)90049-0 Google Scholar

[2] [2] Chapman, T. A. and Ferry, S., Approximating homotopy equivalences by homeomorphisms. Amer. J. Math. 101(1979), no. 3, 583–607. doi:10.2307/2373799 Google Scholar

[3] [3] Chigogidze, A., Inverse spectra. North-Holland Mathematical Library, 53, North-Holland, Amsterdam, 1996. Google Scholar

[4] [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:10.2307/1971161 Google Scholar

[5] [5] Levin, M., Characterizing Nöbeling spaces. http://front.math.ucdavis.edu/math.GT/0602361. Google Scholar

[6] [6] Levin, M., A Z-set unknotting theorem for Nöbeling manifolds. http://front.math.ucdavis.edu/math.GT/0510571. Google Scholar

[7] [7] Nagórko, A., Characterization and topological rigidity of Nöbeling manifolds. Ph.D. Thesis, Warsaw University, 2006. . Google Scholar | arXiv

[8] [8] West, J. E., Open problems in infinite-dimensional topology. In: Open problems in topology, North Holland, Amsterdam, 1990, pp. 523–597. Google Scholar

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