Upper quasi continuous maps and quasi continuous selections

被引:0
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作者
Milan Matejdes
机构
[1] Tomas Bata University in Zlín,Department of Mathematics, Faculty of Applied Informatics
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关键词
selection; quasi continuity; minimal usco multifunction; cluster point; generalized quasi continuity; 54C60; 54C65; 26E25;
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摘要
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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页码:517 / 525
页数:8
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