Geodesic
On clopen sets in Cartesian products
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 357-362 Cet article a éte moissonné depuis la source 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.
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.
Classification : 54B10, 54B15, 54D20, 54H05, 55M10
Keywords: clopen set; clopen box; Cartesian product of spaces 
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     author = {Buzyakova, Raushan Z.},
     title = {On clopen sets in {Cartesian} products},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {357--362},
     year = {2001},
     volume = {42},
     number = {2},
     mrnumber = {1832154},
     zbl = {1053.54016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2001_42_2_a12/}
}
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Buzyakova, Raushan Z. On clopen sets in Cartesian products. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 357-362. http://geodesic.mathdoc.fr/item/CMUC_2001_42_2_a12/