Closure operators and connectedness

DOI10.1016/0166-8641(94)90063-9zbMath0791.54001OpenAlexW2065558770MaRDI QIDQ1313935

V. Pereyra

Publication date: 1 March 1994

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(94)90063-9

zbMATH Keywords

connectednessGalois connectionclosure operator

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Connected and locally connected spaces (general aspects) (54D05) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (18)

Separation, connectedness, and disconnectedness ⋮ Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Another approach to connectedness with respect to a closure operator ⋮ Unnamed Item ⋮ Closedness, separation and connectedness in pseudo-quasi-semi metric spaces ⋮ Connectedness in a category ⋮ On coarse and fine neighbourhood operators ⋮ A note on Cauchy spaces ⋮ Clopen objects, connected objects, and normalized topological categories ⋮ DISCONNECTEDNESS CLASSES ⋮ Convergence on categories ⋮ Separation versus connectedness ⋮ CONNECTEDNESS, DISCONNECTEDNESS AND CLOSURE OPERATORS: FURTHER RESULTS ⋮ Unnamed Item ⋮ Neighborhoods and convergence with respect to a closure operator ⋮ Neighborhoods with respect to a categorical closure operator ⋮ Epimorphisms in categories of separated fuzzy topological spaces ⋮ CONNECTEDNESS AND DISCONNECTEDNESS: A DIFFERENT PERSPECTIVE

Cites Work

• Weakly hereditary regular closure operators
• Closure operators. I
• Closure operators and functorial topologies
• Bases of topological epi-reflections
• Factorization, diagonal separation, and disconnectedness
• Topologische Reflexionen und Coreflexionen
• Eine Galois-Korrespondenz in der Topologie. (A Galois-correspondence in topology)
• Factorizations, injectivity and compactness in categories of modules
• DISCONNECTEDNESS
• Connectednesses and disconnectednesses in topology
• Note on Epi in
• Epireflections in the category of $T_0$-spaces
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