On spaces of densely continuous forms
type: Item
instance of: scholarly article
zbMATH Open document ID: 1311.54009
author: D. M. Ipate
author: R. C. Lupu
publication date: 2014-10-23T00:00:00Z
full work available at URL: http://www.math.md/publications/basm/issues/y2013-n2-3/11568/
Mathematics Subject Classification ID: 54C35
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 6360744
zbMATH Keywords: set-valued mapping
zbMATH Keywords: densely continuous forms
zbMATH Keywords: minimal extensions
zbMATH Keywords: Baire space
MaRDI profile type: Publication
title: On spaces of densely continuous forms
published in: Buletinul Academiei de Științe a Republicii Moldova. Matematica
review text: The authors study the structure of the domain of minimal upper semicontinuous extensions of set-valued mappings. It is proved that the set of all compact-valued upper semicontinuous mappings is closed in the space of all set-valued mappings endowed with the topology of uniform convergence. A similar assertion is true for the space of densely continuous forms.
reviewed by: Laszlo Zsilinszky
description: scientific article; zbMATH DE number 6360744