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

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http://front.math.ucdavis.edu/math.FA/0612307

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http://arXiv.org/abs/math.FA/0612307

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