$\Sigma $-products and selections of set-valued mappings

Ivailo Shishkov

Continuous selections, $G_{δ}$ -subsets of Banach spaces and usco mappings

Valentin G. Gutev (1994)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Every l.s.cṁapping from a paracompact space into the non-empty, closed, convex subsets of a (not necessarily convex) $G_{δ}$ -subset of a Banach space admits a single-valued continuous selection provided every such mapping admits a convex-valued usco selection. This leads us to some new partial solutions of a problem raised by E. Michael.

On $δ$ -continuous selections of small multifunctions and covering properties

Alessandro Fedeli, Jan Pelant (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The spaces for which each $δ$ -continuous function can be extended to a $2 δ$ -small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.

Displaying similar documents to “ Σ -products and selections of set-valued mappings”

Continuous selections, G δ -subsets of Banach spaces and usco mappings

On δ -continuous selections of small multifunctions and covering properties

Displaying similar documents to “ $Σ$ -products and selections of set-valued mappings”

Continuous selections, $G_{δ}$ -subsets of Banach spaces and usco mappings

On $δ$ -continuous selections of small multifunctions and covering properties