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Some remarks providing discontinuous maps on some $C_{p} (X)$ spaces

S. Moll — 2008

Banach Center Publications

Let X be a completely regular Hausdorff topological space and $C_{p} (X)$ the space of continuous real-valued maps on X endowed with the pointwise topology. A simple and natural argument is presented to show how to construct on the space $C_{p} (X)$ , if X contains a homeomorphic copy of the closed interval [0,1], real-valued maps which are everywhere discontinuous but continuous on all compact subsets of $C_{p} (X)$ .

A characterization of convex calibrable sets in $R^{N}$ with respect to anisotropic norms

V. Caselles; A. Chambolle; S. Moll; M. Novaga — 2008

Annales de l'I.H.P. Analyse non linéaire

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Currently displaying 1 – 2 of 2

Some remarks providing discontinuous maps on some C p ( X ) spaces

A characterization of convex calibrable sets in R N with respect to anisotropic norms

Some remarks providing discontinuous maps on some $C_{p} (X)$ spaces

A characterization of convex calibrable sets in $R^{N}$ with respect to anisotropic norms