Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, Number 2-3, Pages 90–98 (Mi basm335)  
On spaces of densely continuous forms

D. M. Ipate, R. C. Lupu

Transnistrean State University, 128, 25 October str., Tiraspol, 278000 Moldova
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Abstract: 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.
Keywords and phrases: densely continuous forms, minimal extension, Baire space.
Received: 12.04.2013
Document Type: Article
MSC: 54C35, 54G05, 54G10
Language: English
Citation: D. M. Ipate, R. C. Lupu, “On spaces of densely continuous forms”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3, 90–98
Citation in format AMSBIB
\Bibitem{IpaLup13}
\by D.~M.~Ipate, R.~C.~Lupu
\paper On spaces of densely continuous forms
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2013
\issue 2-3
\pages 90--98
\mathnet{http://mi.mathnet.ru/basm335}
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