The Homeomorphism Group of a Compact Hilbert Cube Manifold is an ANR

1977 ◽  
Vol 106 (1) ◽  
pp. 101 ◽  
Author(s):  
Steve Ferry
Keyword(s):  
Hilbert Cube ◽  
Homeomorphism Group ◽  
Hilbert Cube Manifold

scholarly journals Finding a boundary for a Hilbert cube manifold

1976 ◽  
Vol 137 (0) ◽  
pp. 171-208 ◽  
Author(s):  
T. A. Chapman ◽  
L. C. Siebenmann
Keyword(s):  
Hilbert Cube ◽  
Hilbert Cube Manifold

scholarly journals On Banach-Mazur compacta

2000 ◽  
Vol 69 (3) ◽  
pp. 316-335 ◽  
Author(s):  
Sergei M. Ageev ◽  
Duŝan Repovŝ
Keyword(s):  
Banach Spaces ◽  
Hilbert Cube ◽  
Hilbert Cube Manifold

AbstractWe study Banach-Mazur compacta Q(n), that is, the sets of all isometry classes of n-dimensional Banach spaces topologized by the Banach-Mazur metric. Our main result is that Q(2) is homeomorphic to the compactification of a Hilbert cube manifold by a point, for we prove that Qg(2) = Q(2) / {Eucl.} is a Hilbert cube manifold. As a corollary it follows that Q(2) is not homogeneous.

scholarly journals Flat Hilbert cube manifold pairs

1984 ◽  
Vol 112 (2) ◽  
pp. 407-426
Author(s):  
Luis Montejano Peimbert
Keyword(s):  
Hilbert Cube ◽  
Hilbert Cube Manifold

scholarly journals CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS

2018 ◽  
Vol 62 (1) ◽  
pp. 13-41
Author(s):  
MICHAEL S. WEISS
Keyword(s):  
Compact Manifold ◽  
Geometric Conditions ◽  
Homeomorphism Group ◽  
Manifold With Boundary ◽  
Smooth Compact Manifold

AbstractLet M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the pair (M, ∂M) can be recovered from the configuration category of M \ ∂M. The grouplike monoid of derived homotopy automorphisms of the configuration category of M \ ∂M then acts on the homotopical model of (M, ∂M). That action is compatible with a better known homotopical action of the homeomorphism group of M \ ∂M on (M, ∂M).

scholarly journals Characterizing Hilbert cube manifolds by their homological structure

1983 ◽  
Vol 15 (2) ◽  
pp. 197-203
Author(s):  
Terry L. Lay ◽  
John J. Walsh
Keyword(s):  
Hilbert Cube
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