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Upper quasi continuous maps and quasi continuous selections

Milan Matejdes (2010)

Czechoslovak Mathematical Journal

The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form ( G I ) J , where G is open and I , J are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form ( G I ) J .

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