On clopen sets in Cartesian products
Buzyakova, Raushan Z.
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 357-362 / Harvested from Czech Digital Mathematics Library
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The results concern clopen sets in products of topological spaces. It is shown that a clopen subset of the product of two separable metrizable (or locally compact) spaces is not always a union of clopen boxes. It is also proved that any clopen subset of the product of two spaces, one of which is compact, can always be represented as a union of clopen boxes.

Publié le : 2001-01-01
Classification:  54B10,  54B15,  54D20,  54H05,  55M10 
@article{119250,
     author = {Raushan Z. Buzyakova},
     title = {On clopen sets in Cartesian products},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {357-362},
     zbl = {1053.54016},
     mrnumber = {1832154},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119250}
}

Buzyakova, Raushan Z. On clopen sets in Cartesian products. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 357-362. http://gdmltest.u-ga.fr/item/119250/

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