ISSN:
1572-932X
Keywords:
Primary 53C35
;
secondary 54B20
;
54C65
;
54E52
;
Lower semicontinuous functions
;
partially ordered spaces
;
hyperspaces
;
multifunctions
;
continuous selections
;
Čech-complete spaces
;
epi-topology
;
Fell topology
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The concept of lower semicontinuity is extended to functions mapping into partially ordered spaces. A study is made of spaces of such lower semicontinuous functions under the epi-topology. These spaces are subspaces of hyperspaces with the Fell topology. The closure of such a function space in the hyperspace is characterized for certain spaces. A continuous selection theorem is established, showing that most such function spaces are not Čech-complete.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01027638
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