Electronic Resource
Springer
Set-valued analysis
8 (2000), S. 267-271
ISSN:
1572-932X
Keywords:
densely continuous forms
;
Vietoris hyperspaces
;
semicontinuous functions
;
countably paracompact normal spaces
;
locally compact separable metric spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For countably paracompact normal spaces X and locally compact separable metric spaces Y, a characterization is given for the closure of the set of densely continuous forms from X to Y in the hyperspace of nonempty closed subsets of X × Y under the Vietoris topology. This shows that for such X having no isolated points, every closed subset of X × R that is dense over X can be ‘Vietoris approximated’ by a semicontinuous function on X.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008773312587
Permalink
|
Location |
Call Number |
Expected |
Availability |
