Continuity properties and Alexandroff theorem in Vietoris topology

DOI10.1016/j.fss.2011.12.010zbMath1253.54014OpenAlexW2016341198MaRDI QIDQ1759624

Xianqiang Yang

Publication date: 21 November 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.12.010

zbMATH Keywords

regularityVietoris topologyHausdorff topologycontinuity propertiesAlexandroff theoremmonotone set multifunction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20)

Related Items (1)

A mathematical-physical approach on regularity in hit-and-miss hypertopologies for fuzzy set multifunctions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A set-valued Egoroff type theorem
• Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions
• Exhausitivity and absolute continuity of fuzzy measures
• On set-valued fuzzy integrals
• On set-valued fuzzy measures.
• Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures
• Generalized fuzzy integrals of set-valued functions
• Regularity and autocontinuity of set multifunctions
• Integral representation of vector measures and linear operations
• Topologies on Spaces of Subsets

This page was built for publication: Continuity properties and Alexandroff theorem in Vietoris topology