On continuous convergence of nets of multifunctions

DOI10.1515/DEMA-2013-0292zbMath1232.54011OpenAlexW1022599467MaRDI QIDQ3019061

Marian Przemski

Publication date: 27 July 2011

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0292

zbMATH Keywords

multifunctioncontinuous convergencegraph convergencetopological convergencequasiuniform convergence

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Weak and generalized continuity (54C08) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Cites Work

• Quasi-uniformization of topological spaces
• \(\alpha\)-continuous and \(\alpha\)-open mappings
• Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions
• On upper and lower \(\beta\)-continuous multifunctions
• Bornological convergences
• More on Convergence of Continuous Functions and Topological Convergence of Sets
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• On Quasi-Uniformities in Hyperspaces
• COMPARISON OF CONVERGENCES FOR MULTIFUNCTIONS
• Properties of topological spaces preserved under multivalued continuous mappings
• Topologies on Spaces of Subsets
• Topology in Lattices
• Wild 0-dimensional sets and the fundamental group
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