A topological lattice on the set of multifunctions

Basil K. Papadopoulos

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-4

Abstract:

Let X be a Wilker space and M(X,Y) the set of continuous multifunctions from X to a topological space Y equipped with the compact-open topology. Assuming that M(X,Y) is equipped with the partial order ⊂ we prove that ( M ( X,Y ) , ⊂ ) is a topological V-semilattice. We also prove that if X is a Wilker normal space and U(X,Y) is the set of point-closed upper semi-continuous multifunctlons equipped with the compact-open topology, then ( U ( X,Y ) , ⊂ ) is a topological lattice.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:236490

DOI: 10.1155/S0161171289000815

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