Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471126 | Computers & Mathematics with Applications | 2014 | 10 Pages |
Abstract
In this paper we investigate the algebraic structure of certain spaces of set-valued maps. Among other results, we show that for an arbitrary topological space XX and a metrisable topological vector space ZZ, the space M(X,Z)M(X,Z) of minimal upper semi-continuous compact valued (musco) maps from XX into ZZ is a linear space. This result extends a previously known result on the linear structure of spaces of musco maps. Previously, this result was known only in the case when XX is a Baire space. We also study topologies of uniform convergence on compact sets on M(X,Z)M(X,Z).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jan Harm van der Walt,