On spaces of densely continuous forms
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IPATE, Dumitru, LUPU, Raluca. On spaces of densely continuous forms. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 90-98. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322

On spaces of densely continuous forms

Pag. 90-98

Ipate Dumitru, Lupu Raluca
 
Tiraspol State University
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

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.

Cuvinte-cheie
Densely continuous forms, minimal extension, Baire space

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<dc:creator>Ipate, D.</dc:creator>
<dc:creator>Lupu, R.</dc:creator>
<dc:date>2013-09-03</dc:date>
<dc:description xml:lang='en'>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.</dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 73 (2-3) 90-98</dc:source>
<dc:subject>Densely continuous forms</dc:subject>
<dc:subject>minimal extension</dc:subject>
<dc:subject>Baire space</dc:subject>
<dc:title>On spaces of densely continuous forms</dc:title>
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