Simple homotopy theory for compact Hilbert cube manifold factors

1974 ◽  
pp. 53-63 ◽  
Author(s):  
T. A. Chapman
Keyword(s):  
Homotopy Theory ◽  
Hilbert Cube ◽  
Simple Homotopy ◽  
Hilbert Cube Manifold

Higher Simple Homotopy Theory

1975 ◽  
Vol 102 (1) ◽  
pp. 101 ◽  
Author(s):  
A. E. Hatcher
Keyword(s):  
Homotopy Theory ◽  
Simple Homotopy

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.

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