Some remarks providing discontinuous maps on some Cp(X) spaces
S. Moll
Banach Center Publications, Tome 83 (2008), p. 131-133 / Harvested from The Polish Digital Mathematics Library
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Let X be a completely regular Hausdorff topological space and Cp(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 Cp(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 Cp(X).

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:282240 
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     author = {S. Moll},
     title = {Some remarks providing discontinuous maps on some $C\_p(X)$ spaces},
     journal = {Banach Center Publications},
     volume = {83},
     year = {2008},
     pages = {131-133},
     zbl = {1139.54016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-10}
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S. Moll. Some remarks providing discontinuous maps on some $C_p(X)$ spaces. Banach Center Publications, Tome 83 (2008) pp. 131-133. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-10/