Compactoid filters and USCO maps.
type: Item
instance of: scholarly article
title: Compactoid filters and USCO maps.
zbMATH Open document ID: 1038.54003
DOI: 10.1016/S0022-247X(03)00280-4
author: Luis Oncina
author: B. Cascales
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: A filter of subsets of a topological space is called compactoid if every finer ultrafilter converges. The authors collect several properties and characterizations of compactoid filters. They give some applications -- for example to the construction of usco and minimal usco mappings, and to the stability of K-analytic spaces with respect to certain mappings.
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 1957252
zbMATH Keywords: compactoid filter
zbMATH Keywords: countably compactoid filter
zbMATH Keywords: usco map
zbMATH Keywords: minimal usco map
zbMATH Keywords: K-analytic space
reviewed by: Ondřej F. K. Kalenda
MaRDI profile type: Publication
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full work available at URL: s0022-247x(03)00280-4
OpenAlex ID: W2065027925
description: scientific article; zbMATH DE number 1957252