Dedekind cuts in C(X)
Nicolae Dăneţ
Banach Center Publications, Tome 95 (2011), p. 287-297 / Harvested from The Polish Digital Mathematics Library
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The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space X corresponds to a Dedekind cut in C(X) and conversely.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281617 
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     author = {Nicolae D\u ane\c t},
     title = {Dedekind cuts in C(X)},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {287-297},
     zbl = {1244.54042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-16}
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Nicolae Dăneţ. Dedekind cuts in C(X). Banach Center Publications, Tome 95 (2011) pp. 287-297. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-16/