A correction of two papers concerning Hilbert manifolds
A general approximation theorem for Hilbert cube manifolds
A generalization of Steenrod’s approximation theorem
In this paper we aim for a generalization of the Steenrod Approximation Theorem from [16, Section 6.7], concerning a smoothing procedure for sections in smooth locally trivial bundles. The generalization is that we consider locally trivial smooth bundles with a possibly infinite-dimensional typical fibre. The main result states that a continuous section in a smooth locally trivial bundles can always be smoothed out in a very controlled way (in terms of the graph topology on spaces of continuous...
Absolute Z-sets
An embedding theorem of infinite-dimensional manifold pairs in the model space
Arithmetic groups of gauge transformations.