This is an announcement for the paper "Spaces of functions with countably many discontinuities" by R Haydon, A Molto and J Orihuela.
Abstract: Let $\Gamma$ be a Polish space and let $K$ be a separable and poointwise compact set of real-valued functions on $\Gamma$. It is shown that if each function in $K$ has only countably many discontinuities then $C(K)$ may be equipped with a $T_p$-lower semicontinuous and locally uniformly convex norm, equivalent to the supremum norm.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46B03; 54H05
The source file(s), fewdiscfinal.tex: 56379 bytes, is(are) stored in gzipped form as 0612307.gz with size 18kb. The corresponding postcript file has gzipped size 144kb.
Submitted from: richard.haydon@bnc.ox.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0612307
or
http://arXiv.org/abs/math.FA/0612307
or by email in unzipped form by transmitting an empty message with subject line
uget 0612307
or in gzipped form by using subject line
get 0612307
to: math@arXiv.org.