Another approach to connectedness with respect to a closure operator

DOI10.1007/s10485-008-9163-2zbMath1184.54014OpenAlexW2084345203MaRDI QIDQ843761

Josef Šlapal

Publication date: 15 January 2010

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-008-9163-2

zbMATH Keywords

connectednessclosure operator in a categoryconnected objectfinal and quotient morphisms

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Connected and locally connected spaces (general aspects) (54D05)

Related Items

Connectedness in a category

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Separation versus connectedness
• Computer graphics and connected topologies on finite ordered sets
• Closure operators. I
• Closure operators and connectedness
• On \(m\)-separated projection spaces
• Facets of descent. I
• A link between two connectedness notions
• A digital analogue of the Jordan curve theorem
• Openness with respect to a closure operator
• Trennung und Zusammenhang
• Eine Galois-Korrespondenz in der Topologie. (A Galois-correspondence in topology)
• Categorical Closure Operators
• What is a quotient map with respect to a closure operator?
• Connectedness with respect to a closure operator
• On connectedness via closure operators