Geodesic
On spaces of densely continuous forms
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 90-98

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We study the structure of the domain of the minimal upper semicontinuous extension of the set-valued mapping. It is proved that the set of all compact-valued upper semicontinuous mappings is closed in the space of all set-valued mappings. A similar assertion is true for the space of densely continuous forms. 
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D. M. Ipate; R. C. Lupu. On spaces of densely continuous forms. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 90-98. http://geodesic.mathdoc.fr/item/BASM_2013_2_a9/