[Banach] Abstract of a paper by Christian Rosendal

[Dale Alspach]

This is an announcement for the paper "Incomparable, non isomorphic and
minimal Banach spaces" by Christian Rosendal.


Abstract: A Banach space contains either a minimal subspace or a
continuum of incomparable subspaces. General structure results for
analytic equivalence relations are applied in the context of Banach
spaces to show that if $E_0$ does not reduce to isomorphism of the
subspaces of a space, in particular, if the subspaces of the space admit
a classification up to isomorphism by real numbers, then any subspace
with an unconditional basis is isomorphic to its square and hyperplanes
and has an isomorphically homogeneous subsequence.

Archive classification: Functional Analysis; Logic

The source file(s), ArchiveIncomparable.tex: 57150 bytes, is(are) stored
in gzipped form as 0407111.gz with size 19kb. The corresponding postcript
file has gzipped size 81kb.

Submitted from: rosendal at ccr.jussieu.fr

The paper may be downloaded from the archive by web browser from URL

 http://front.math.ucdavis.edu/math.FA/0407111

 or

 http://arXiv.org/abs/math.FA/0407111

or by email in unzipped form by transmitting an empty message with
subject line

	 uget 0407111


or in gzipped form by using subject line

	 get 0407111

 to: math at arXiv.org.