$\Sigma$-products and selections of set-valued mappings
Shishkov, Ivailo
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 203-207 / Harvested from Czech Digital Mathematics Library
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Every lower semi-continuous closed-and-convex valued mapping $\Phi : X\rightarrow 2^{Y}$, where $X$ is a $\Sigma$-product of metrizable spaces and $Y$ is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.

Publié le : 2001-01-01
Classification:  54B10,  54C60,  54C65,  54D15 
@article{119235,
     author = {Ivailo Shishkov},
     title = {$\Sigma$-products and selections of set-valued mappings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {203-207},
     zbl = {1053.54029},
     mrnumber = {1825384},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119235}
}

Shishkov, Ivailo. $\Sigma$-products and selections of set-valued mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 203-207. http://gdmltest.u-ga.fr/item/119235/

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